Atkin-Lehner |
2- 3- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
97680cg |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
15902304000 = 28 · 3 · 53 · 112 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ -4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2737996,1742890280] |
[a1,a2,a3,a4,a6] |
j |
8867114845499418890704/62118375 |
j-invariant |
L |
2.4351941851666 |
L(r)(E,1)/r! |
Ω |
0.60879853981028 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24420f2 |
Quadratic twists by: -4 |