Atkin-Lehner |
5- 11- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
120175p |
Isogeny class |
Conductor |
120175 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
43392 |
Modular degree for the optimal curve |
Δ |
57083125 = 54 · 11 · 192 · 23 |
Discriminant |
Eigenvalues |
-2 -1 5- -3 11- 0 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-208,1168] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:47:1] [-22:327:8] |
Generators of the group modulo torsion |
j |
1600000000/91333 |
j-invariant |
L |
4.1913886775759 |
L(r)(E,1)/r! |
Ω |
1.9523097394423 |
Real period |
R |
0.35781452410015 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999897126 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120175g1 |
Quadratic twists by: 5 |