Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400eh |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
34117200000000 = 210 · 38 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -6 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8133,-24363] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:243:1] [-67:464:1] |
Generators of the group modulo torsion |
j |
3718856704/2132325 |
j-invariant |
L |
7.8894346458892 |
L(r)(E,1)/r! |
Ω |
0.54555706012995 |
Real period |
R |
7.2306228096539 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400cj1 15600ck1 12480de1 |
Quadratic twists by: -4 8 5 |