Atkin-Lehner |
5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
70225j |
Isogeny class |
Conductor |
70225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
606528 |
Modular degree for the optimal curve |
Δ |
734194462398125 = 54 · 537 |
Discriminant |
Eigenvalues |
2 2 5- -3 -5 -6 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-23408,-440207] |
[a1,a2,a3,a4,a6] |
Generators |
[1898:21617:8] [-21234:204949:216] |
Generators of the group modulo torsion |
j |
102400/53 |
j-invariant |
L |
23.022176522613 |
L(r)(E,1)/r! |
Ω |
0.40834796675376 |
Real period |
R |
28.189410009554 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70225f1 1325e1 |
Quadratic twists by: 5 53 |