Atkin-Lehner |
2- 3- 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8778p |
Isogeny class |
Conductor |
8778 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
-29739864 = -1 · 23 · 3 · 72 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11+ 2 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,64,-168] |
[a1,a2,a3,a4,a6] |
Generators |
[6:18:1] |
Generators of the group modulo torsion |
j |
28962726911/29739864 |
j-invariant |
L |
7.0614156274595 |
L(r)(E,1)/r! |
Ω |
1.1362653107878 |
Real period |
R |
1.0357639130606 |
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 |
70224cd1 26334q1 61446bx1 96558bk1 |
Quadratic twists by: -4 -3 -7 -11 |