Atkin-Lehner |
2- 3- 5- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
71910bj |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
443493419400000000 = 29 · 310 · 58 · 17 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-368222,79903469] |
[a1,a2,a3,a4,a6] |
Generators |
[177:4411:1] [777:-16589:1] |
Generators of the group modulo torsion |
j |
7573982123252049049/608358600000000 |
j-invariant |
L |
14.642800421654 |
L(r)(E,1)/r! |
Ω |
0.29038424039065 |
Real period |
R |
0.35017779856875 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23970d2 |
Quadratic twists by: -3 |