Atkin-Lehner |
5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
6845c |
Isogeny class |
Conductor |
6845 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8208 |
Modular degree for the optimal curve |
Δ |
474659385665 = 5 · 377 |
Discriminant |
Eigenvalues |
-1 -2 5- -2 0 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4820,-124865] |
[a1,a2,a3,a4,a6] |
j |
4826809/185 |
j-invariant |
L |
0.57432961108214 |
L(r)(E,1)/r! |
Ω |
0.57432961108214 |
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 |
109520x1 61605e1 34225d1 185c1 |
Quadratic twists by: -4 -3 5 37 |