Atkin-Lehner |
3+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
96921g |
Isogeny class |
Conductor |
96921 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
318240 |
Modular degree for the optimal curve |
Δ |
-13299236098294707 = -1 · 39 · 112 · 895 |
Discriminant |
Eigenvalues |
0 3+ 0 0 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-100980,13540007] |
[a1,a2,a3,a4,a6] |
Generators |
[7410:213863:8] |
Generators of the group modulo torsion |
j |
-47813787648000/5584059449 |
j-invariant |
L |
4.7545630290078 |
L(r)(E,1)/r! |
Ω |
0.38688956251407 |
Real period |
R |
1.2289199501104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021827 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96921b1 96921f1 |
Quadratic twists by: -3 -11 |