Atkin-Lehner |
2- 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
67620y |
Isogeny class |
Conductor |
67620 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
8283450000 = 24 · 3 · 55 · 74 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-506,69] |
[a1,a2,a3,a4,a6] |
j |
373698304/215625 |
j-invariant |
L |
3.3409529462065 |
L(r)(E,1)/r! |
Ω |
1.1136509845276 |
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 |
67620s1 |
Quadratic twists by: -7 |