Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400fc |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-195000000 = -1 · 26 · 3 · 57 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -5 13- -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,687] |
[a1,a2,a3,a4,a6] |
Generators |
[2:25:1] |
Generators of the group modulo torsion |
j |
-4096/195 |
j-invariant |
L |
3.0126697857067 |
L(r)(E,1)/r! |
Ω |
1.4844216397199 |
Real period |
R |
1.0147621487843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000194 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400db1 15600cf1 12480cn1 |
Quadratic twists by: -4 8 5 |