Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19350j |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
84000 |
Modular degree for the optimal curve |
Δ |
-421225312500000 = -1 · 25 · 36 · 510 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -3 0 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,18633,124541] |
[a1,a2,a3,a4,a6] |
j |
100491975/59168 |
j-invariant |
L |
0.64499347017846 |
L(r)(E,1)/r! |
Ω |
0.32249673508923 |
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 |
2150k1 19350ct1 |
Quadratic twists by: -3 5 |