Cremona's table of elliptic curves

121968 = 2⁴ · 3² · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 11-	Signs for the Atkin-Lehner involutions
Class	121968ed	Isogeny class
Conductor	121968	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	1105920	Modular degree for the optimal curve
Δ	-219544760800899072 = -1 · 212 · 36 · 73 · 118	Discriminant
Eigenvalues	2- 3-  2 7+ 11- -4  4  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,60621,-21799118]	[a1,a2,a3,a4,a6]
j	4657463/41503	j-invariant
L	1.2475791218414	L(r)(E,1)/r!
Ω	0.15594743046038	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7623o1 13552s1 11088by1	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 121968ed1

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	+	-	-4	4	0	-4	-6	-10	-6	4	12	-10	6	2	0	-8	-12	8	8	0	6	-10

---

Quadratic twists for elliptic curve 121968ed1

-4	-3	-11
7623o1	13552s1	11088by1

---

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