Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
62496bg |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
7380652608 = 26 · 312 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-489,-488] |
[a1,a2,a3,a4,a6] |
Generators |
[24:40:1] |
Generators of the group modulo torsion |
j |
277167808/158193 |
j-invariant |
L |
7.7327907996231 |
L(r)(E,1)/r! |
Ω |
1.0989194442322 |
Real period |
R |
3.5183610772957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000366 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62496ca1 124992eo1 20832l1 |
Quadratic twists by: -4 8 -3 |