Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
62496bh |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-137772182016 = -1 · 29 · 311 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -3 -3 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-579,-18646] |
[a1,a2,a3,a4,a6] |
Generators |
[58:378:1] |
Generators of the group modulo torsion |
j |
-57512456/369117 |
j-invariant |
L |
3.9434702350024 |
L(r)(E,1)/r! |
Ω |
0.43380348969235 |
Real period |
R |
2.2726132502366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000078 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62496v1 124992bm1 20832b1 |
Quadratic twists by: -4 8 -3 |