Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400eq |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
24375000000 = 26 · 3 · 510 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1508,21762] |
[a1,a2,a3,a4,a6] |
Generators |
[31:62:1] |
Generators of the group modulo torsion |
j |
379503424/24375 |
j-invariant |
L |
3.9971400750647 |
L(r)(E,1)/r! |
Ω |
1.1755933776737 |
Real period |
R |
3.4001042801536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997901 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400gz1 31200bu3 12480cv1 |
Quadratic twists by: -4 8 5 |