Atkin-Lehner |
11+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
76109b |
Isogeny class |
Conductor |
76109 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
-30976363 = -1 · 113 · 17 · 372 |
Discriminant |
Eigenvalues |
0 0 -2 -1 11+ 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-176,-938] |
[a1,a2,a3,a4,a6] |
Generators |
[16:18:1] |
Generators of the group modulo torsion |
j |
-452984832/23273 |
j-invariant |
L |
3.5582217668648 |
L(r)(E,1)/r! |
Ω |
0.65342260349746 |
Real period |
R |
1.3613784357552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998648 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76109a1 |
Quadratic twists by: -11 |