Atkin-Lehner |
2- 3- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10230ba |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
392832000 = 210 · 32 · 53 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-856,-9664] |
[a1,a2,a3,a4,a6] |
j |
69370801987969/392832000 |
j-invariant |
L |
4.4146529320685 |
L(r)(E,1)/r! |
Ω |
0.88293058641369 |
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 |
81840bq1 30690r1 51150b1 112530w1 |
Quadratic twists by: -4 -3 5 -11 |