Atkin-Lehner |
2- 5+ 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
107440k |
Isogeny class |
Conductor |
107440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-1697552000000000 = -1 · 213 · 59 · 17 · 792 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 -4 -3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1376,1981940] |
[a1,a2,a3,a4,a6] |
j |
-70393838689/414441406250 |
j-invariant |
L |
1.514685270878 |
L(r)(E,1)/r! |
Ω |
0.3786712589251 |
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 |
13430e1 |
Quadratic twists by: -4 |