Atkin-Lehner |
2+ 3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
37488l |
Isogeny class |
Conductor |
37488 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
449068752 = 24 · 33 · 114 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-679,6512] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:66:1] |
Generators of the group modulo torsion |
j |
2166968031232/28066797 |
j-invariant |
L |
6.2425492251376 |
L(r)(E,1)/r! |
Ω |
1.6748687351334 |
Real period |
R |
1.2423957161915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18744f1 112464d1 |
Quadratic twists by: -4 -3 |