Cremona's table of elliptic curves

11858 = 2 · 7² · 11²

Field	Data	Notes
Atkin-Lehner	2+ 7- 11-	Signs for the Atkin-Lehner involutions
Class	11858t	Isogeny class
Conductor	11858	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	207360	Modular degree for the optimal curve
Δ	-14822420912262656 = -1 · 29 · 711 · 114	Discriminant
Eigenvalues	2+ -3 -2 7- 11- -5 -8  3	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-51508,-7373360]	[a1,a2,a3,a4,a6]
Generators	[597:12907:1]	Generators of the group modulo torsion
j	-8773917273/8605184	j-invariant
L	1.1586021586263	L(r)(E,1)/r!
Ω	0.15239065089439	Real period
R	0.6335702309746	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	94864dg1 106722ha1 1694b1 11858bp1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 11858t1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-3	-2	-	-	-5	-8	3	1	-8	8	-2	2	-2	4	12	15	-10	0	-8	-4	-3	-3	-6	-16

---

Quadratic twists for elliptic curve 11858t1

-4	-3	-7	-11
94864dg1	106722ha1	1694b1	11858bp1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations