Atkin-Lehner |
2+ 3- 7+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69426r |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
360448 |
Modular degree for the optimal curve |
Δ |
-1688611580612208 = -1 · 24 · 310 · 7 · 192 · 294 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,28287,-752531] |
[a1,a2,a3,a4,a6] |
Generators |
[251:4577:1] |
Generators of the group modulo torsion |
j |
3433588288785647/2316339616752 |
j-invariant |
L |
3.539587776574 |
L(r)(E,1)/r! |
Ω |
0.26836258615845 |
Real period |
R |
3.297393116325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984794 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23142u1 |
Quadratic twists by: -3 |