Atkin-Lehner |
2- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
11840bm |
Isogeny class |
Conductor |
11840 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-1369000000 = -1 · 26 · 56 · 372 |
Discriminant |
Eigenvalues |
2- 2 5- 2 4 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1540,23850] |
[a1,a2,a3,a4,a6] |
j |
-6315211203904/21390625 |
j-invariant |
L |
4.5830221228307 |
L(r)(E,1)/r! |
Ω |
1.5276740409436 |
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 |
11840bo1 5920c2 106560ey1 59200cm1 |
Quadratic twists by: -4 8 -3 5 |