Atkin-Lehner |
3+ 5- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
47175g |
Isogeny class |
Conductor |
47175 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
6592009317449625 = 310 · 53 · 176 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-235773,-43989294] |
[a1,a2,a3,a4,a6] |
j |
11595674686810767461/52736074539597 |
j-invariant |
L |
1.3003076836542 |
L(r)(E,1)/r! |
Ω |
0.21671794717311 |
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 |
47175o1 |
Quadratic twists by: 5 |