Atkin-Lehner |
2+ 3- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126bf |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
8956416 |
Modular degree for the optimal curve |
Δ |
3.4808815559501E+19 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 11+ 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31981770,-69606270896] |
[a1,a2,a3,a4,a6] |
Generators |
[-3265:2393:1] |
Generators of the group modulo torsion |
j |
860833894093732321/8282804244 |
j-invariant |
L |
4.260236183145 |
L(r)(E,1)/r! |
Ω |
0.063485446860947 |
Real period |
R |
1.1983163167638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999049724 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42042bw1 126126bs1 |
Quadratic twists by: -3 -7 |