Atkin-Lehner |
2+ 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
38850bn |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-2428125000000 = -1 · 26 · 3 · 511 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 5 -2 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6626,220148] |
[a1,a2,a3,a4,a6] |
j |
-2058561081361/155400000 |
j-invariant |
L |
3.2016846527429 |
L(r)(E,1)/r! |
Ω |
0.80042116319087 |
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 |
116550ff1 7770q1 |
Quadratic twists by: -3 5 |