Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75690f |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
78475392000000 = 213 · 36 · 56 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 2 0 -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21255,-1108675] |
[a1,a2,a3,a4,a6] |
j |
1732187934441/128000000 |
j-invariant |
L |
1.5889704816903 |
L(r)(E,1)/r! |
Ω |
0.39724261599008 |
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 |
8410l1 75690bj1 |
Quadratic twists by: -3 29 |