Atkin-Lehner |
2+ 5+ 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
56650d |
Isogeny class |
Conductor |
56650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-13830566406250 = -1 · 2 · 514 · 11 · 103 |
Discriminant |
Eigenvalues |
2+ -2 5+ 3 11+ 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6626,-274602] |
[a1,a2,a3,a4,a6] |
j |
-2058561081361/885156250 |
j-invariant |
L |
1.0366212256997 |
L(r)(E,1)/r! |
Ω |
0.25915530654717 |
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 |
11330i1 |
Quadratic twists by: 5 |