Atkin-Lehner |
2+ 3+ 5- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
20670i |
Isogeny class |
Conductor |
20670 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
3064320 |
Modular degree for the optimal curve |
Δ |
-3.1196358984375E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 13+ 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19169527,42012593941] |
[a1,a2,a3,a4,a6] |
Generators |
[-4593:184484:1] |
Generators of the group modulo torsion |
j |
-779036737531266903089927161/311963589843750000000000 |
j-invariant |
L |
3.1754530939624 |
L(r)(E,1)/r! |
Ω |
0.090820653196297 |
Real period |
R |
1.9424443071819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62010bk1 103350bx1 |
Quadratic twists by: -3 5 |