Atkin-Lehner |
2+ 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
73200n |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-8784000000 = -1 · 210 · 32 · 56 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 3 5 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,4512] |
[a1,a2,a3,a4,a6] |
j |
-4/549 |
j-invariant |
L |
4.1526497722081 |
L(r)(E,1)/r! |
Ω |
1.0381624436533 |
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 |
36600n1 2928d1 |
Quadratic twists by: -4 5 |