Atkin-Lehner |
2+ 3- 5- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
47430s |
Isogeny class |
Conductor |
47430 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
203520 |
Modular degree for the optimal curve |
Δ |
-2566987867440 = -1 · 24 · 36 · 5 · 175 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 3 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23949,-1422635] |
[a1,a2,a3,a4,a6] |
j |
-2083859989441489/3521245360 |
j-invariant |
L |
3.8373629154435 |
L(r)(E,1)/r! |
Ω |
0.19186814577233 |
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 |
5270d1 |
Quadratic twists by: -3 |