Atkin-Lehner |
3+ 7- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
116571c |
Isogeny class |
Conductor |
116571 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
199584 |
Modular degree for the optimal curve |
Δ |
-1836338416731 = -1 · 39 · 76 · 13 · 61 |
Discriminant |
Eigenvalues |
0 3+ -3 7- -6 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2907,-87865] |
[a1,a2,a3,a4,a6] |
j |
-23100424192/15608619 |
j-invariant |
L |
0.31558470849065 |
L(r)(E,1)/r! |
Ω |
0.31558457614517 |
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 |
2379a1 |
Quadratic twists by: -7 |