Atkin-Lehner |
2- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
76472c |
Isogeny class |
Conductor |
76472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
672000 |
Modular degree for the optimal curve |
Δ |
-455841314888512256 = -1 · 28 · 1111 · 792 |
Discriminant |
Eigenvalues |
2- -1 -3 2 11- 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26297,-32516339] |
[a1,a2,a3,a4,a6] |
j |
-4434684928/1005119291 |
j-invariant |
L |
1.0588856084721 |
L(r)(E,1)/r! |
Ω |
0.13236070051126 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6952a1 |
Quadratic twists by: -11 |