Atkin-Lehner |
2+ 3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
36120l |
Isogeny class |
Conductor |
36120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-2855651823360 = -1 · 28 · 32 · 5 · 78 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2556,94464] |
[a1,a2,a3,a4,a6] |
Generators |
[192:2592:1] |
Generators of the group modulo torsion |
j |
-7216659188944/11154889935 |
j-invariant |
L |
5.9526249667992 |
L(r)(E,1)/r! |
Ω |
0.72234957258312 |
Real period |
R |
4.1203215124169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72240d1 108360br1 |
Quadratic twists by: -4 -3 |