Atkin-Lehner |
2+ 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
71136d |
Isogeny class |
Conductor |
71136 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
-2489190912 = -1 · 29 · 39 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -1 3 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-459,4482] |
[a1,a2,a3,a4,a6] |
j |
-1061208/247 |
j-invariant |
L |
2.7623792138367 |
L(r)(E,1)/r! |
Ω |
1.3811896114649 |
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 |
71136v1 71136x1 |
Quadratic twists by: -4 -3 |