Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11774h |
Isogeny class |
Conductor |
11774 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1680 |
Modular degree for the optimal curve |
Δ |
-5274752 = -1 · 27 · 72 · 292 |
Discriminant |
Eigenvalues |
2- 1 2 7- -1 -2 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-32,128] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:16:1] |
Generators of the group modulo torsion |
j |
-4317433/6272 |
j-invariant |
L |
8.8509844862625 |
L(r)(E,1)/r! |
Ω |
2.1747427233405 |
Real period |
R |
0.29070711252643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94192r1 105966w1 82418n1 11774e1 |
Quadratic twists by: -4 -3 -7 29 |