Atkin-Lehner |
2+ 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17850w |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
-13602556800000000 = -1 · 213 · 36 · 58 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 1 6 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-306701,65591048] |
[a1,a2,a3,a4,a6] |
j |
-8167839927844585/34822545408 |
j-invariant |
L |
2.3955350410681 |
L(r)(E,1)/r! |
Ω |
0.39925584017801 |
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 |
53550ec1 17850bj1 124950bq1 |
Quadratic twists by: -3 5 -7 |