Atkin-Lehner |
2+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
2590c |
Isogeny class |
Conductor |
2590 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
Δ |
-71163817984000 = -1 · 215 · 53 · 73 · 373 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 6 5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7822,306948] |
[a1,a2,a3,a4,a6] |
j |
52936711356027239/71163817984000 |
j-invariant |
L |
1.244942231983 |
L(r)(E,1)/r! |
Ω |
0.41498074399433 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
20720n2 82880j2 23310bo2 12950l2 |
Quadratic twists by: -4 8 -3 5 |