Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
62496m |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
8719831020096 = 26 · 310 · 74 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 -6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5529,69680] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:3465:8] |
Generators of the group modulo torsion |
j |
400641542848/186896241 |
j-invariant |
L |
6.281839428588 |
L(r)(E,1)/r! |
Ω |
0.65537577582613 |
Real period |
R |
4.7925477723622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999358 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62496p1 124992fh2 20832y1 |
Quadratic twists by: -4 8 -3 |