Atkin-Lehner |
2- 3- 5+ 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122670bt |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
-810176327398195200 = -1 · 227 · 311 · 52 · 29 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 -3 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-591683,180600131] |
[a1,a2,a3,a4,a6] |
Generators |
[-885:3682:1] [475:2322:1] |
Generators of the group modulo torsion |
j |
-31424094354327039721/1111352986828800 |
j-invariant |
L |
15.401764787224 |
L(r)(E,1)/r! |
Ω |
0.28093022584171 |
Real period |
R |
0.25381557435961 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999727 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40890q1 |
Quadratic twists by: -3 |