Atkin-Lehner |
2- 3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550eb |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
60902876160000000 = 216 · 38 · 57 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-401630,-97146003] |
[a1,a2,a3,a4,a6] |
Generators |
[1049:24675:1] |
Generators of the group modulo torsion |
j |
629004249876241/5346754560 |
j-invariant |
L |
9.5712168995977 |
L(r)(E,1)/r! |
Ω |
0.18974301781327 |
Real period |
R |
0.78817268498907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001661 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38850c1 23310p1 |
Quadratic twists by: -3 5 |