Atkin-Lehner |
2- 3- 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
97680ce |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
8225280 |
Modular degree for the optimal curve |
Δ |
4.7891369867275E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11+ 5 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15111416,-20014158636] |
[a1,a2,a3,a4,a6] |
Generators |
[-2813:15588:1] |
Generators of the group modulo torsion |
j |
93170682541288607440249/11692228971502632960 |
j-invariant |
L |
6.9605002626435 |
L(r)(E,1)/r! |
Ω |
0.077203910867791 |
Real period |
R |
6.4398109483933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944414 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12210e1 |
Quadratic twists by: -4 |