Atkin-Lehner |
2+ 3+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
12090c |
Isogeny class |
Conductor |
12090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-513584458115625000 = -1 · 23 · 34 · 58 · 133 · 314 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18878,34486332] |
[a1,a2,a3,a4,a6] |
j |
-744093657485624809/513584458115625000 |
j-invariant |
L |
0.94969031986568 |
L(r)(E,1)/r! |
Ω |
0.23742257996642 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96720cs3 36270bv3 60450co3 |
Quadratic twists by: -4 -3 5 |