Atkin-Lehner |
2- 3- 7+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69426bf |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
1009989595496448 = 216 · 39 · 72 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 6 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-86270,9653901] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:4227:1] |
Generators of the group modulo torsion |
j |
97402669215657625/1385445261312 |
j-invariant |
L |
10.917308420157 |
L(r)(E,1)/r! |
Ω |
0.49476665521643 |
Real period |
R |
0.68954907238544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993599 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23142c1 |
Quadratic twists by: -3 |