Atkin-Lehner |
2- 3+ 5+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
32370w |
Isogeny class |
Conductor |
32370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3354535308150 = 2 · 314 · 52 · 132 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -4 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-21541,1204709] |
[a1,a2,a3,a4,a6] |
j |
1105407875472992209/3354535308150 |
j-invariant |
L |
1.5937630374977 |
L(r)(E,1)/r! |
Ω |
0.79688151875053 |
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 |
97110bd2 |
Quadratic twists by: -3 |