Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
12400u |
Isogeny class |
Conductor |
12400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-2539520000000000 = -1 · 223 · 510 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ -5 -5 7 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56875,5756250] |
[a1,a2,a3,a4,a6] |
Generators |
[149:768:1] |
Generators of the group modulo torsion |
j |
-508660425/63488 |
j-invariant |
L |
3.3321052868881 |
L(r)(E,1)/r! |
Ω |
0.44341547653251 |
Real period |
R |
1.8786586526845 |
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 |
1550f1 49600cc1 111600fq1 12400bb1 |
Quadratic twists by: -4 8 -3 5 |