Atkin-Lehner |
2- 3+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
120666bj |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
4644864 |
Modular degree for the optimal curve |
Δ |
7.6184232897655E+19 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1204382,-287664421] |
[a1,a2,a3,a4,a6] |
Generators |
[-7557:145613:27] |
Generators of the group modulo torsion |
j |
40027308583943017/15783560712192 |
j-invariant |
L |
9.2087868939616 |
L(r)(E,1)/r! |
Ω |
0.14907173996554 |
Real period |
R |
5.1478496291086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000085196 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9282d1 |
Quadratic twists by: 13 |