Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664dq |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
1708765632 = 26 · 34 · 73 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 2 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-364,1670] |
[a1,a2,a3,a4,a6] |
j |
83568086848/26699463 |
j-invariant |
L |
2.7598870087985 |
L(r)(E,1)/r! |
Ω |
1.3799435043754 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664cu1 20832d2 124992ex1 |
Quadratic twists by: -4 8 -3 |