Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600bj |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
524160 |
Modular degree for the optimal curve |
Δ |
-208827064576000000 = -1 · 214 · 56 · 138 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 -4 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,54925,-21420750] |
[a1,a2,a3,a4,a6] |
j |
351/4 |
j-invariant |
L |
0.93395733616441 |
L(r)(E,1)/r! |
Ω |
0.15565955699523 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8450b1 2704e1 67600bk1 |
Quadratic twists by: -4 5 13 |