Atkin-Lehner |
2+ 3+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
7626a |
Isogeny class |
Conductor |
7626 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1509068658995712 = 29 · 34 · 316 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 -4 2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-106371,-13266099] |
[a1,a2,a3,a4,a6] |
Generators |
[639:13104:1] |
Generators of the group modulo torsion |
j |
133106669753963044537/1509068658995712 |
j-invariant |
L |
1.486607173261 |
L(r)(E,1)/r! |
Ω |
0.26453965273916 |
Real period |
R |
5.6196005319734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61008p2 22878g2 |
Quadratic twists by: -4 -3 |