Atkin-Lehner |
2+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
2590c |
Isogeny class |
Conductor |
2590 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-45563761855037440 = -1 · 245 · 5 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 6 5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-76353,-13098892] |
[a1,a2,a3,a4,a6] |
j |
-49225921256294301961/45563761855037440 |
j-invariant |
L |
1.244942231983 |
L(r)(E,1)/r! |
Ω |
0.13832691466478 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20720n3 82880j3 23310bo3 12950l3 |
Quadratic twists by: -4 8 -3 5 |