Atkin-Lehner |
2+ 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
74592g |
Isogeny class |
Conductor |
74592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-37895122944 = -1 · 212 · 36 · 73 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ -5 1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,744,5168] |
[a1,a2,a3,a4,a6] |
j |
15252992/12691 |
j-invariant |
L |
2.9857894632194 |
L(r)(E,1)/r! |
Ω |
0.74644736229992 |
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 |
74592p1 8288h1 |
Quadratic twists by: -4 -3 |