Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17850bg |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-4337550 = -1 · 2 · 36 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 -2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,22,101] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:59:8] |
Generators of the group modulo torsion |
j |
46969655/173502 |
j-invariant |
L |
5.8953407437871 |
L(r)(E,1)/r! |
Ω |
1.7469240683605 |
Real period |
R |
1.6873488809734 |
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 |
53550v1 17850y1 124950hl1 |
Quadratic twists by: -3 5 -7 |