Atkin-Lehner |
2- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12650p |
Isogeny class |
Conductor |
12650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
7720947265625000 = 23 · 518 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-278005,-56191003] |
[a1,a2,a3,a4,a6] |
j |
152075776363995609/494140625000 |
j-invariant |
L |
2.4954715044141 |
L(r)(E,1)/r! |
Ω |
0.20795595870117 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101200br4 113850bx4 2530a3 |
Quadratic twists by: -4 -3 5 |