Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
39200bg |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
358400 |
Modular degree for the optimal curve |
Δ |
-322828856000000000 = -1 · 212 · 59 · 79 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -5 -3 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-114333,-31085963] |
[a1,a2,a3,a4,a6] |
Generators |
[4492:300125:1] |
Generators of the group modulo torsion |
j |
-512 |
j-invariant |
L |
3.0533611028967 |
L(r)(E,1)/r! |
Ω |
0.12208598382528 |
Real period |
R |
3.1262404241961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39200ct1 78400ep1 39200cv1 39200bb1 |
Quadratic twists by: -4 8 5 -7 |