Atkin-Lehner |
5+ 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
6815b |
Isogeny class |
Conductor |
6815 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
91392 |
Modular degree for the optimal curve |
Δ |
5736877754921875 = 57 · 294 · 473 |
Discriminant |
Eigenvalues |
-1 3 5+ 1 3 -1 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-251058,48343606] |
[a1,a2,a3,a4,a6] |
j |
1750025128545654906609/5736877754921875 |
j-invariant |
L |
2.5720027283585 |
L(r)(E,1)/r! |
Ω |
0.42866712139308 |
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 |
109040e1 61335i1 34075a1 |
Quadratic twists by: -4 -3 5 |