Atkin-Lehner |
2- 3+ 5+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
20010q |
Isogeny class |
Conductor |
20010 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
899057964810240000 = 224 · 35 · 54 · 233 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1820401,-945020401] |
[a1,a2,a3,a4,a6] |
j |
667152201169153598575249/899057964810240000 |
j-invariant |
L |
4.6794567031238 |
L(r)(E,1)/r! |
Ω |
0.12998490842011 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60030q1 100050bc1 |
Quadratic twists by: -3 5 |