Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
93600di |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
89813529000000 = 26 · 312 · 56 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52725,4637500] |
[a1,a2,a3,a4,a6] |
Generators |
[60:1300:1] |
Generators of the group modulo torsion |
j |
22235451328/123201 |
j-invariant |
L |
5.1678986106414 |
L(r)(E,1)/r! |
Ω |
0.60690214973713 |
Real period |
R |
2.1288022320953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012667 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
93600u1 31200n1 3744h1 |
Quadratic twists by: -4 -3 5 |