Atkin-Lehner |
3- 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
67275g |
Isogeny class |
Conductor |
67275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
425724609375 = 36 · 59 · 13 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ -1 6 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2817,-47534] |
[a1,a2,a3,a4,a6] |
j |
217081801/37375 |
j-invariant |
L |
1.3260224709671 |
L(r)(E,1)/r! |
Ω |
0.66301123949616 |
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 |
7475b1 13455f1 |
Quadratic twists by: -3 5 |