Atkin-Lehner |
2- 3- 5- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
54990bp |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
608 |
Product of Tamagawa factors cp |
deg |
19436544 |
Modular degree for the optimal curve |
Δ |
-2.5454618252323E+26 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,72401683,730050816341] |
[a1,a2,a3,a4,a6] |
Generators |
[-5169:469144:1] |
Generators of the group modulo torsion |
j |
57576090764453337163226231/349171718138867220480000 |
j-invariant |
L |
9.5096033691436 |
L(r)(E,1)/r! |
Ω |
0.040064317503911 |
Real period |
R |
0.39039214916074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18330h1 |
Quadratic twists by: -3 |