Atkin-Lehner |
3+ 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
96387c |
Isogeny class |
Conductor |
96387 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4320000 |
Modular degree for the optimal curve |
Δ |
-6.121983634936E+20 |
Discriminant |
Eigenvalues |
1 3+ -1 -4 3 3 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4572433,-3949002476] |
[a1,a2,a3,a4,a6] |
Generators |
[21648972492:2055919832308:2248091] |
Generators of the group modulo torsion |
j |
-224721335000834209/13012794116739 |
j-invariant |
L |
5.1118502180243 |
L(r)(E,1)/r! |
Ω |
0.051448918649273 |
Real period |
R |
12.419722202695 |
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 |
5073g1 |
Quadratic twists by: -19 |