Atkin-Lehner |
2+ 3- 5+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
34170f |
Isogeny class |
Conductor |
34170 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
9890164800 = 26 · 34 · 52 · 17 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-539,-538] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:64:1] |
Generators of the group modulo torsion |
j |
17271547035049/9890164800 |
j-invariant |
L |
5.2305475816948 |
L(r)(E,1)/r! |
Ω |
1.0746367886999 |
Real period |
R |
0.60840877083955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102510bd1 |
Quadratic twists by: -3 |