Atkin-Lehner |
2- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84640u |
Isogeny class |
Conductor |
84640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6927360 |
Modular degree for the optimal curve |
Δ |
-1.9513543842077E+19 |
Discriminant |
Eigenvalues |
2- 2 5- 3 6 4 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15436925,-23340576715] |
[a1,a2,a3,a4,a6] |
j |
-670933008285184/32181715 |
j-invariant |
L |
7.4642157504039 |
L(r)(E,1)/r! |
Ω |
0.038082733035684 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84640j1 3680e1 |
Quadratic twists by: -4 -23 |