Atkin-Lehner |
11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
3179g |
Isogeny class |
Conductor |
3179 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
5508 |
Modular degree for the optimal curve |
Δ |
-9284733153971 = -1 · 113 · 178 |
Discriminant |
Eigenvalues |
2 0 1 -2 11- -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,4913,-62641] |
[a1,a2,a3,a4,a6] |
Generators |
[1154:15275:8] |
Generators of the group modulo torsion |
j |
1880064/1331 |
j-invariant |
L |
6.1731996457918 |
L(r)(E,1)/r! |
Ω |
0.41105945689946 |
Real period |
R |
5.0059259815722 |
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 |
50864bk1 28611m1 79475x1 34969l1 |
Quadratic twists by: -4 -3 5 -11 |