Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12720w |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
921914730086400000 = 236 · 34 · 55 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-251816,15133620] |
[a1,a2,a3,a4,a6] |
Generators |
[-524:1866:1] |
Generators of the group modulo torsion |
j |
431137155391783849/225076838400000 |
j-invariant |
L |
5.037200843951 |
L(r)(E,1)/r! |
Ω |
0.24579692760068 |
Real period |
R |
5.1233358499646 |
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 |
1590a1 50880cv1 38160cd1 63600bx1 |
Quadratic twists by: -4 8 -3 5 |