Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31200bh |
Isogeny class |
Conductor |
31200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-7118280000000000 = -1 · 212 · 34 · 510 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -5 13+ 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-833,4059537] |
[a1,a2,a3,a4,a6] |
j |
-1600/177957 |
j-invariant |
L |
1.3366984139401 |
L(r)(E,1)/r! |
Ω |
0.33417460348476 |
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 |
31200bz1 62400hj1 93600bb1 31200bb1 |
Quadratic twists by: -4 8 -3 5 |