Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17850bj |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-870563635200 = -1 · 213 · 36 · 52 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 1 -6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12268,519821] |
[a1,a2,a3,a4,a6] |
Generators |
[89:-423:1] |
Generators of the group modulo torsion |
j |
-8167839927844585/34822545408 |
j-invariant |
L |
6.4978881792584 |
L(r)(E,1)/r! |
Ω |
0.89276319905182 |
Real period |
R |
0.093312827855045 |
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 |
53550bu1 17850w1 124950ic1 |
Quadratic twists by: -3 5 -7 |