Atkin-Lehner |
2+ 3+ 5+ 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
119970a |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7372800 |
Modular degree for the optimal curve |
Δ |
3.126558180996E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 2 -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9725010,11644408916] |
[a1,a2,a3,a4,a6] |
Generators |
[2015068:-27277534:1331] |
Generators of the group modulo torsion |
j |
5167763313261237878643/15884561200000000 |
j-invariant |
L |
4.8007341621814 |
L(r)(E,1)/r! |
Ω |
0.17270292952579 |
Real period |
R |
6.9494104759964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999405388 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119970bk1 |
Quadratic twists by: -3 |