Atkin-Lehner |
2- 3+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
120666bk |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
15482880 |
Modular degree for the optimal curve |
Δ |
6.4859366731871E+22 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19243949,-30102132013] |
[a1,a2,a3,a4,a6] |
Generators |
[-8801279990:-8203408177:2863288] |
Generators of the group modulo torsion |
j |
163284962754131070553/13437317849509008 |
j-invariant |
L |
8.953694815998 |
L(r)(E,1)/r! |
Ω |
0.072458901185844 |
Real period |
R |
15.446161022277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999712825 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9282c1 |
Quadratic twists by: 13 |