Atkin-Lehner |
2+ 3- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
118320u |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
573440 |
Modular degree for the optimal curve |
Δ |
175960771200000 = 210 · 38 · 55 · 172 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33880,2302628] |
[a1,a2,a3,a4,a6] |
Generators |
[176:-1350:1] [-184:1530:1] |
Generators of the group modulo torsion |
j |
4200169133270884/171836690625 |
j-invariant |
L |
13.600998760529 |
L(r)(E,1)/r! |
Ω |
0.56556034666328 |
Real period |
R |
0.30060891910439 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000462 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59160q1 |
Quadratic twists by: -4 |