Atkin-Lehner |
3+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975c |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
582912 |
Modular degree for the optimal curve |
Δ |
-5050900800198825 = -1 · 3 · 52 · 119 · 134 |
Discriminant |
Eigenvalues |
1 3+ 5+ -1 11+ 13- 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,25650,-3021135] |
[a1,a2,a3,a4,a6] |
j |
31658125/85683 |
j-invariant |
L |
1.775776659479 |
L(r)(E,1)/r! |
Ω |
0.22197211402465 |
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 |
117975cg1 117975a1 |
Quadratic twists by: 5 -11 |