Atkin-Lehner |
2- 7+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
17108b |
Isogeny class |
Conductor |
17108 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-14233856 = -1 · 28 · 7 · 132 · 47 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ 3 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-92,356] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:26:1] |
Generators of the group modulo torsion |
j |
-340062928/55601 |
j-invariant |
L |
4.2420354210875 |
L(r)(E,1)/r! |
Ω |
2.1450165612695 |
Real period |
R |
0.32960393699532 |
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 |
68432n1 119756f1 |
Quadratic twists by: -4 -7 |