Atkin-Lehner |
2+ 7- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
85358k |
Isogeny class |
Conductor |
85358 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-56434740204437504 = -1 · 215 · 711 · 13 · 67 |
Discriminant |
Eigenvalues |
2+ 3 3 7- 0 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13288,11448128] |
[a1,a2,a3,a4,a6] |
j |
-2205630275913/479687376896 |
j-invariant |
L |
5.1802234395464 |
L(r)(E,1)/r! |
Ω |
0.28779019557167 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12194b1 |
Quadratic twists by: -7 |