Atkin-Lehner |
2- 3- 7- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
109746s |
Isogeny class |
Conductor |
109746 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
419840 |
Modular degree for the optimal curve |
Δ |
41945574408192 = 220 · 38 · 7 · 13 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13361,509537] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:916:1] |
Generators of the group modulo torsion |
j |
361811696411593/57538510848 |
j-invariant |
L |
7.904929934969 |
L(r)(E,1)/r! |
Ω |
0.61531972763227 |
Real period |
R |
0.64234328742449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002125 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36582b1 |
Quadratic twists by: -3 |