Atkin-Lehner |
2- 3- 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
96696h |
Isogeny class |
Conductor |
96696 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-3545010150549552 = -1 · 24 · 39 · 172 · 794 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4686,2861957] |
[a1,a2,a3,a4,a6] |
Generators |
[1094:36295:1] |
Generators of the group modulo torsion |
j |
975625299968/303927482043 |
j-invariant |
L |
7.3282756339443 |
L(r)(E,1)/r! |
Ω |
0.34457722707921 |
Real period |
R |
5.3168600938556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003151 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32232a1 |
Quadratic twists by: -3 |