Atkin-Lehner |
2+ 3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
106128o |
Isogeny class |
Conductor |
106128 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
13380625032192 = 210 · 37 · 113 · 672 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10371,-366446] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:198:1] |
Generators of the group modulo torsion |
j |
165256339972/17924577 |
j-invariant |
L |
5.1647837657808 |
L(r)(E,1)/r! |
Ω |
0.47641745776446 |
Real period |
R |
0.90340654715794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999215528 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53064q1 35376g1 |
Quadratic twists by: -4 -3 |