Atkin-Lehner |
3- 5- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
75705y |
Isogeny class |
Conductor |
75705 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
491249745 = 33 · 5 · 73 · 1032 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 6 6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-260,-1233] |
[a1,a2,a3,a4,a6] |
j |
5668315687/1432215 |
j-invariant |
L |
3.6330006195594 |
L(r)(E,1)/r! |
Ω |
1.2110002095254 |
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 |
75705g1 |
Quadratic twists by: -7 |