Atkin-Lehner |
2+ 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
2706c |
Isogeny class |
Conductor |
2706 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
178596 = 22 · 32 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 11- 4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-929,-11295] |
[a1,a2,a3,a4,a6] |
j |
88818021833113/178596 |
j-invariant |
L |
1.7292780172826 |
L(r)(E,1)/r! |
Ω |
0.86463900864131 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21648bb1 86592bc1 8118m1 67650cp1 |
Quadratic twists by: -4 8 -3 5 |