Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129960ce |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
919296 |
Modular degree for the optimal curve |
Δ |
15847702344817920 = 28 · 36 · 5 · 198 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -1 -4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82308,6776692] |
[a1,a2,a3,a4,a6] |
Generators |
[404:6282:1] |
Generators of the group modulo torsion |
j |
19456/5 |
j-invariant |
L |
6.3830161303551 |
L(r)(E,1)/r! |
Ω |
0.3672017486346 |
Real period |
R |
4.3457146268328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000141305 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14440d1 129960bb1 |
Quadratic twists by: -3 -19 |