Atkin-Lehner |
2+ 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
57120u |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-910677297600 = -1 · 26 · 314 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3486,-92736] |
[a1,a2,a3,a4,a6] |
j |
-73223496485056/14229332775 |
j-invariant |
L |
4.3039752135601 |
L(r)(E,1)/r! |
Ω |
0.30742680087807 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57120c1 114240hv2 |
Quadratic twists by: -4 8 |