Atkin-Lehner |
2- 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17850bn |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-722925000000 = -1 · 26 · 35 · 58 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 0 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1138,-43969] |
[a1,a2,a3,a4,a6] |
j |
-417267265/1850688 |
j-invariant |
L |
2.2392456896393 |
L(r)(E,1)/r! |
Ω |
0.37320761493988 |
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 |
53550cd1 17850t1 124950ix1 |
Quadratic twists by: -3 5 -7 |