Atkin-Lehner |
2- 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
96432bu |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-11202503897088 = -1 · 212 · 34 · 77 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2336,-155840] |
[a1,a2,a3,a4,a6] |
Generators |
[56:384:1] [58:414:1] |
Generators of the group modulo torsion |
j |
2924207/23247 |
j-invariant |
L |
8.4919419248491 |
L(r)(E,1)/r! |
Ω |
0.35641501761552 |
Real period |
R |
5.9564983971614 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000288 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6027h1 13776o1 |
Quadratic twists by: -4 -7 |