Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
127400h |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
3747120650000000000 = 210 · 511 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 2 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16565675,-25951294250] |
[a1,a2,a3,a4,a6] |
Generators |
[-19219572309568722:-2020648712626978:8165528711353] |
Generators of the group modulo torsion |
j |
267080942160036/1990625 |
j-invariant |
L |
6.726178516389 |
L(r)(E,1)/r! |
Ω |
0.074833742414251 |
Real period |
R |
22.470407358664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997197559 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25480n1 18200e1 |
Quadratic twists by: 5 -7 |