Atkin-Lehner |
2- 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
64032bh |
Isogeny class |
Conductor |
64032 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
256256064 = 26 · 32 · 232 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-234,-1224] |
[a1,a2,a3,a4,a6] |
Generators |
[3570:15912:125] |
Generators of the group modulo torsion |
j |
22235451328/4004001 |
j-invariant |
L |
7.3440755984032 |
L(r)(E,1)/r! |
Ω |
1.2353326500569 |
Real period |
R |
5.9450186128429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001038 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64032c1 128064q2 |
Quadratic twists by: -4 8 |