Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400gq |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
40 |
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 |
[-2993:294912:1] |
Generators of the group modulo torsion |
j |
-198417696411528597145/22989483914821632 |
j-invariant |
L |
6.1352846427501 |
L(r)(E,1)/r! |
Ω |
0.099958772634111 |
Real period |
R |
1.5344537755307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000191 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400o1 15600bm1 62400fv2 |
Quadratic twists by: -4 8 5 |