Atkin-Lehner |
3+ 5+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
19635h |
Isogeny class |
Conductor |
19635 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
6185025 = 33 · 52 · 72 · 11 · 17 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11- 2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-93,288] |
[a1,a2,a3,a4,a6] |
j |
90458382169/6185025 |
j-invariant |
L |
2.3403511389884 |
L(r)(E,1)/r! |
Ω |
2.3403511389884 |
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 |
58905bp1 98175bb1 |
Quadratic twists by: -3 5 |