Atkin-Lehner |
2- 3- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59280cc |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3836160 |
Modular degree for the optimal curve |
Δ |
-3.7647418872539E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 -1 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1296920,-3006734700] |
[a1,a2,a3,a4,a6] |
Generators |
[256465326:87621107712:2197] |
Generators of the group modulo torsion |
j |
-58898422343082781081/919126437317836800 |
j-invariant |
L |
10.140497722764 |
L(r)(E,1)/r! |
Ω |
0.05997545189362 |
Real period |
R |
7.0448946211271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7410h1 |
Quadratic twists by: -4 |