Atkin-Lehner |
2+ 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17850c |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-3279187800 = -1 · 23 · 39 · 52 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,350,-980] |
[a1,a2,a3,a4,a6] |
j |
188819819375/131167512 |
j-invariant |
L |
1.5987385201933 |
L(r)(E,1)/r! |
Ω |
0.79936926009666 |
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 |
53550dk1 17850ch1 124950cp1 |
Quadratic twists by: -3 5 -7 |