Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
45600f |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4.127005818963E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9186008,10263783012] |
[a1,a2,a3,a4,a6] |
j |
10715544157908977288/515875727370375 |
j-invariant |
L |
2.193711031396 |
L(r)(E,1)/r! |
Ω |
0.1371069394603 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45600bo3 91200cm3 9120r3 |
Quadratic twists by: -4 8 5 |