Atkin-Lehner |
2+ 3- 5- 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570u |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
29754545062500 = 22 · 39 · 56 · 192 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14589,629073] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:804:1] [12:-681:1] |
Generators of the group modulo torsion |
j |
471074397586129/40815562500 |
j-invariant |
L |
9.0937302980953 |
L(r)(E,1)/r! |
Ω |
0.64551106350231 |
Real period |
R |
0.58698518207478 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985779 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38190bf1 |
Quadratic twists by: -3 |