Atkin-Lehner |
2- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
67600dh |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
17576000000000 = 212 · 59 · 133 |
Discriminant |
Eigenvalues |
2- 2 5- 0 2 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9208,276912] |
[a1,a2,a3,a4,a6] |
j |
4913 |
j-invariant |
L |
2.6194233585442 |
L(r)(E,1)/r! |
Ω |
0.65485583834849 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4225k1 67600dl1 67600di1 |
Quadratic twists by: -4 5 13 |