Atkin-Lehner |
2+ 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550bu |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
-634640890060800 = -1 · 213 · 312 · 52 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -1 -6 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-110412,-14145584] |
[a1,a2,a3,a4,a6] |
j |
-8167839927844585/34822545408 |
j-invariant |
L |
0.78551731045629 |
L(r)(E,1)/r! |
Ω |
0.13091955199701 |
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 |
17850bj1 53550ec1 |
Quadratic twists by: -3 5 |