Atkin-Lehner |
2+ 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870k |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
865742345994240 = 224 · 38 · 5 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25560,-679104] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:855:1] |
Generators of the group modulo torsion |
j |
2533309721804161/1187575234560 |
j-invariant |
L |
3.1674293579487 |
L(r)(E,1)/r! |
Ω |
0.39515284454203 |
Real period |
R |
4.0078534188709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960dt1 4290bc1 64350dj1 |
Quadratic twists by: -4 -3 5 |