Atkin-Lehner |
2- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
39592n |
Isogeny class |
Conductor |
39592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
3041932544 = 28 · 76 · 101 |
Discriminant |
Eigenvalues |
2- -2 -3 7- -2 3 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6337,192051] |
[a1,a2,a3,a4,a6] |
Generators |
[86:539:1] [-43:622:1] |
Generators of the group modulo torsion |
j |
934577152/101 |
j-invariant |
L |
5.3214800809548 |
L(r)(E,1)/r! |
Ω |
1.3660329096093 |
Real period |
R |
0.97389309648431 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79184n1 808b1 |
Quadratic twists by: -4 -7 |