Atkin-Lehner |
2+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
90944cf |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
247296 |
Modular degree for the optimal curve |
Δ |
134214159908864 = 214 · 710 · 29 |
Discriminant |
Eigenvalues |
2+ -2 1 7- 2 -5 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12805,15651] |
[a1,a2,a3,a4,a6] |
Generators |
[846:20539:729] |
Generators of the group modulo torsion |
j |
50176/29 |
j-invariant |
L |
4.5191159384371 |
L(r)(E,1)/r! |
Ω |
0.49534171825988 |
Real period |
R |
9.123229009507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010598 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90944ed1 11368f1 90944j1 |
Quadratic twists by: -4 8 -7 |