Atkin-Lehner |
2+ 3+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
12090c |
Isogeny class |
Conductor |
12090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1669882841640000 = 26 · 32 · 54 · 136 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-106758,13236948] |
[a1,a2,a3,a4,a6] |
j |
134564764541863949929/1669882841640000 |
j-invariant |
L |
0.94969031986568 |
L(r)(E,1)/r! |
Ω |
0.47484515993284 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
96720cs2 36270bv2 60450co2 |
Quadratic twists by: -4 -3 5 |