Atkin-Lehner |
2+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
15200f |
Isogeny class |
Conductor |
15200 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-158470336000000 = -1 · 212 · 56 · 195 |
Discriminant |
Eigenvalues |
2+ 0 5+ 5 -5 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1400,-606000] |
[a1,a2,a3,a4,a6] |
j |
-4741632/2476099 |
j-invariant |
L |
2.587385910372 |
L(r)(E,1)/r! |
Ω |
0.2587385910372 |
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 |
15200b1 30400bc1 608e1 |
Quadratic twists by: -4 8 5 |