Atkin-Lehner |
2+ 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408w |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
63378432 = 210 · 32 · 13 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 4 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-109,253] |
[a1,a2,a3,a4,a6] |
Generators |
[1:12:1] |
Generators of the group modulo torsion |
j |
141150208/61893 |
j-invariant |
L |
3.968629694586 |
L(r)(E,1)/r! |
Ω |
1.7691136292866 |
Real period |
R |
1.121643524976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000286 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408do1 7176d1 |
Quadratic twists by: -4 8 |