Atkin-Lehner |
2- 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
119700r |
Isogeny class |
Conductor |
119700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
-1837577542500000000 = -1 · 28 · 37 · 510 · 72 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -1 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-519375,158143750] |
[a1,a2,a3,a4,a6] |
j |
-8501573200/1008273 |
j-invariant |
L |
3.0777944545183 |
L(r)(E,1)/r! |
Ω |
0.25648286613016 |
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 |
39900q1 119700cg1 |
Quadratic twists by: -3 5 |