Atkin-Lehner |
2+ 5+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
7130a |
Isogeny class |
Conductor |
7130 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-5893390625000 = -1 · 23 · 59 · 233 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5+ -4 3 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,631,116692] |
[a1,a2,a3,a4,a6] |
j |
27848434970231/5893390625000 |
j-invariant |
L |
0.58537405136343 |
L(r)(E,1)/r! |
Ω |
0.58537405136343 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57040k2 64170bj2 35650o2 |
Quadratic twists by: -4 -3 5 |