Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40950ep |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
220722291562500 = 22 · 38 · 57 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-462380,-120899253] |
[a1,a2,a3,a4,a6] |
Generators |
[1049:22875:1] |
Generators of the group modulo torsion |
j |
959781554388721/19377540 |
j-invariant |
L |
9.2554573289799 |
L(r)(E,1)/r! |
Ω |
0.18308400072376 |
Real period |
R |
2.1063776946631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650i1 8190h1 |
Quadratic twists by: -3 5 |