Atkin-Lehner |
3+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
15675f |
Isogeny class |
Conductor |
15675 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
537240 |
Modular degree for the optimal curve |
Δ |
-361559794921875 = -1 · 311 · 510 · 11 · 19 |
Discriminant |
Eigenvalues |
2 3+ 5+ 2 11+ -5 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-9002708,-10393995307] |
[a1,a2,a3,a4,a6] |
j |
-8263103822294732800/37023723 |
j-invariant |
L |
3.5298909005106 |
L(r)(E,1)/r! |
Ω |
0.043578900006303 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
81 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47025bh1 15675z1 |
Quadratic twists by: -3 5 |