Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400fp |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-31227677964288000 = -1 · 214 · 35 · 53 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 3 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-242453,46811277] |
[a1,a2,a3,a4,a6] |
Generators |
[-428:8485:1] |
Generators of the group modulo torsion |
j |
-769623354048512/15247889631 |
j-invariant |
L |
4.3277589414204 |
L(r)(E,1)/r! |
Ω |
0.37087978933939 |
Real period |
R |
5.8344496865351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000262 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400dm1 15600cx1 62400ie1 |
Quadratic twists by: -4 8 5 |