Atkin-Lehner |
2- 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
119700cj |
Isogeny class |
Conductor |
119700 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1088640 |
Modular degree for the optimal curve |
Δ |
-11513643750000 = -1 · 24 · 36 · 58 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1183125,-495329375] |
[a1,a2,a3,a4,a6] |
j |
-40198334560000/2527 |
j-invariant |
L |
2.6056389035303 |
L(r)(E,1)/r! |
Ω |
0.072378886841847 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13300y1 119700u1 |
Quadratic twists by: -3 5 |