Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400o |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6451200 |
Modular degree for the optimal curve |
Δ |
-1.5066388178418E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 3 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22739393,-45716567103] |
[a1,a2,a3,a4,a6] |
Generators |
[15632522871792562325171743804211:12061797828328413882006183681372972:26256355541607851381791441] |
Generators of the group modulo torsion |
j |
-198417696411528597145/22989483914821632 |
j-invariant |
L |
6.7152756516437 |
L(r)(E,1)/r! |
Ω |
0.034344366092373 |
Real period |
R |
48.881930398585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400gq1 1950y1 62400dt2 |
Quadratic twists by: -4 8 5 |