Atkin-Lehner |
2- 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
27072cn |
Isogeny class |
Conductor |
27072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
6578496 = 26 · 37 · 47 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 1 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3918,94394] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:369:1] [37:9:1] |
Generators of the group modulo torsion |
j |
142563879424/141 |
j-invariant |
L |
7.3494363036089 |
L(r)(E,1)/r! |
Ω |
1.9913283902704 |
Real period |
R |
0.92268009881224 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27072cb1 13536n1 9024bc1 |
Quadratic twists by: -4 8 -3 |