Atkin-Lehner |
2+ 5- 17- 101- |
Signs for the Atkin-Lehner involutions |
Class |
17170h |
Isogeny class |
Conductor |
17170 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
60192 |
Modular degree for the optimal curve |
Δ |
-229574141542400 = -1 · 219 · 52 · 17 · 1013 |
Discriminant |
Eigenvalues |
2+ 1 5- 4 1 0 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8743,793258] |
[a1,a2,a3,a4,a6] |
j |
-73898179543791721/229574141542400 |
j-invariant |
L |
2.9433261537239 |
L(r)(E,1)/r! |
Ω |
0.49055435895398 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85850r1 |
Quadratic twists by: 5 |