Atkin-Lehner |
2+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350o |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
59679461187500 = 22 · 56 · 72 · 117 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-709426,229930248] |
[a1,a2,a3,a4,a6] |
Generators |
[13404:3872:27] [-573:21461:1] |
Generators of the group modulo torsion |
j |
1426487591593/2156 |
j-invariant |
L |
4.6136361755263 |
L(r)(E,1)/r! |
Ω |
0.53175032473623 |
Real period |
R |
0.54227002327343 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1694i2 3850v2 |
Quadratic twists by: 5 -11 |