Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680ea |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
12553068658680000 = 26 · 311 · 54 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1818507,-943872856] |
[a1,a2,a3,a4,a6] |
Generators |
[13394:212355:8] |
Generators of the group modulo torsion |
j |
14254800421166387776/269055826875 |
j-invariant |
L |
5.7542772474266 |
L(r)(E,1)/r! |
Ω |
0.13000836669034 |
Real period |
R |
3.6884018787372 |
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 |
31680dj1 15840d2 10560bi1 |
Quadratic twists by: -4 8 -3 |