Atkin-Lehner |
2+ 3+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17112b |
Isogeny class |
Conductor |
17112 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-4148896983312384 = -1 · 211 · 35 · 234 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -2 3 -1 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23064,3387276] |
[a1,a2,a3,a4,a6] |
Generators |
[-175:1426:1] |
Generators of the group modulo torsion |
j |
-662546673464114/2025828605133 |
j-invariant |
L |
4.9399728709638 |
L(r)(E,1)/r! |
Ω |
0.38559944243414 |
Real period |
R |
1.0675959573877 |
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 |
34224i1 51336p1 |
Quadratic twists by: -4 -3 |