Atkin-Lehner |
2- 3- 5- 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
114570bz |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
583680 |
Modular degree for the optimal curve |
Δ |
-333174733064640 = -1 · 26 · 316 · 5 · 192 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 2 -6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,16843,-255859] |
[a1,a2,a3,a4,a6] |
Generators |
[19:256:1] |
Generators of the group modulo torsion |
j |
724901006643191/457029812160 |
j-invariant |
L |
9.3533007617178 |
L(r)(E,1)/r! |
Ω |
0.31111149654371 |
Real period |
R |
2.5053453244631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999960108 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38190m1 |
Quadratic twists by: -3 |