Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
85176bx |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
-3375226423296 = -1 · 211 · 37 · 73 · 133 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 5 13- -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2379,-99034] |
[a1,a2,a3,a4,a6] |
j |
-453962/1029 |
j-invariant |
L |
1.2784749738822 |
L(r)(E,1)/r! |
Ω |
0.31961875439152 |
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 |
28392d1 85176be1 |
Quadratic twists by: -3 13 |