Atkin-Lehner |
2- 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
69312cd |
Isogeny class |
Conductor |
69312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
583680 |
Modular degree for the optimal curve |
Δ |
-428240134473302016 = -1 · 214 · 34 · 199 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 1 -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-146325,-38101491] |
[a1,a2,a3,a4,a6] |
j |
-65536/81 |
j-invariant |
L |
0.466355992087 |
L(r)(E,1)/r! |
Ω |
0.11658899976862 |
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 |
69312be1 17328bb1 69312cz1 |
Quadratic twists by: -4 8 -19 |