Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
76296f |
Isogeny class |
Conductor |
76296 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-27049420277459712 = -1 · 28 · 34 · 11 · 179 |
Discriminant |
Eigenvalues |
2+ 3- 4 3 11+ -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,38919,-7327413] |
[a1,a2,a3,a4,a6] |
j |
1055028224/4377483 |
j-invariant |
L |
6.0776582534283 |
L(r)(E,1)/r! |
Ω |
0.18992682031636 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4488c1 |
Quadratic twists by: 17 |