Cremona's table of elliptic curves

11480 = 2³ · 5 · 7 · 41

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7- 41-	Signs for the Atkin-Lehner involutions
Class	11480c	Isogeny class
Conductor	11480	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	4352	Modular degree for the optimal curve
Δ	51430400 = 210 · 52 · 72 · 41	Discriminant
Eigenvalues	2+  2 5+ 7-  0 -6  4  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-656,-6244]	[a1,a2,a3,a4,a6]
Generators	[58:384:1]	Generators of the group modulo torsion
j	30534944836/50225	j-invariant
L	6.1188311048849	L(r)(E,1)/r!
Ω	0.94332500079757	Real period
R	3.2432253463608	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	22960a1 91840w1 103320bm1 57400p1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11480c1

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
+	2	+	-	0	-6	4	4	0	-4	4	-10	-	0	4	-10	-4	-2	2	6	-2	-6	-4	-18	8

---

Quadratic twists for elliptic curve 11480c1

-4	8	-3	5	-7
22960a1	91840w1	103320bm1	57400p1	80360h1

---

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