Atkin-Lehner |
2- 3- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
10230bg |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
1000 |
Product of Tamagawa factors cp |
deg |
176000 |
Modular degree for the optimal curve |
Δ |
2986780262400000 = 220 · 35 · 55 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -6 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-486675,130612257] |
[a1,a2,a3,a4,a6] |
j |
12747965531857798561201/2986780262400000 |
j-invariant |
L |
4.3919344540704 |
L(r)(E,1)/r! |
Ω |
0.43919344540704 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
10 |
Number of elements in the torsion subgroup |
Twists |
81840bz1 30690f1 51150k1 112530bf1 |
Quadratic twists by: -4 -3 5 -11 |