Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
62496bl |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
79724169326592 = 212 · 310 · 73 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 2 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13116,-386944] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:124:1] [-86:324:1] |
Generators of the group modulo torsion |
j |
83568086848/26699463 |
j-invariant |
L |
8.9454928686201 |
L(r)(E,1)/r! |
Ω |
0.45738678889131 |
Real period |
R |
2.4447286973175 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62496bs2 124992ex1 20832d2 |
Quadratic twists by: -4 8 -3 |