Atkin-Lehner |
2+ 3- 5+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
47430k |
Isogeny class |
Conductor |
47430 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10637568 |
Modular degree for the optimal curve |
Δ |
-1.2353833535829E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -3 -4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-318223350,-2184959407500] |
[a1,a2,a3,a4,a6] |
j |
-4888687926204690735691893601/169462737117000000000 |
j-invariant |
L |
0.21447016753268 |
L(r)(E,1)/r! |
Ω |
0.017872513956182 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15810u1 |
Quadratic twists by: -3 |