Atkin-Lehner |
3- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
96921z |
Isogeny class |
Conductor |
96921 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4631040 |
Modular degree for the optimal curve |
Δ |
-2974423431578218587 = -1 · 39 · 118 · 893 |
Discriminant |
Eigenvalues |
-2 3- 2 2 11- -4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6745629,-6743955056] |
[a1,a2,a3,a4,a6] |
j |
-26284966548631552/2303133723 |
j-invariant |
L |
0.5620733337954 |
L(r)(E,1)/r! |
Ω |
0.04683943663713 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32307b1 8811d1 |
Quadratic twists by: -3 -11 |