Atkin-Lehner |
2- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
17182h |
Isogeny class |
Conductor |
17182 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-18894151936 = -1 · 28 · 114 · 712 |
Discriminant |
Eigenvalues |
2- 0 -3 -2 11- -1 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1354,20617] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-57:1] [37:123:1] |
Generators of the group modulo torsion |
j |
-18737352513/1290496 |
j-invariant |
L |
8.230762565974 |
L(r)(E,1)/r! |
Ω |
1.201856098714 |
Real period |
R |
0.14267450180428 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17182c1 |
Quadratic twists by: -11 |