Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
76296t |
Isogeny class |
Conductor |
76296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
1001830380646656 = 28 · 3 · 11 · 179 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-47492,3665280] |
[a1,a2,a3,a4,a6] |
j |
390224/33 |
j-invariant |
L |
3.8547751489351 |
L(r)(E,1)/r! |
Ω |
0.48184689382254 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76296m1 |
Quadratic twists by: 17 |