Atkin-Lehner |
2+ 3+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
15450h |
Isogeny class |
Conductor |
15450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-217265625000 = -1 · 23 · 33 · 510 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -5 0 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-150,-22500] |
[a1,a2,a3,a4,a6] |
j |
-24137569/13905000 |
j-invariant |
L |
0.89692724492186 |
L(r)(E,1)/r! |
Ω |
0.44846362246093 |
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 |
123600bw1 46350cc1 3090j1 |
Quadratic twists by: -4 -3 5 |