Atkin-Lehner |
2+ 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17850k |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
24480 |
Modular degree for the optimal curve |
Δ |
-66030720000 = -1 · 210 · 3 · 54 · 7 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 2 4 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3425,76725] |
[a1,a2,a3,a4,a6] |
Generators |
[130:1295:1] |
Generators of the group modulo torsion |
j |
-7112520550825/105649152 |
j-invariant |
L |
3.3066814649172 |
L(r)(E,1)/r! |
Ω |
1.1042798956717 |
Real period |
R |
0.16635685078464 |
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 |
53550ed1 17850bu1 124950dr1 |
Quadratic twists by: -3 5 -7 |