Atkin-Lehner |
2- 3- 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
47988f |
Isogeny class |
Conductor |
47988 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-668568816 = -1 · 24 · 36 · 31 · 432 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 0 -4 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1749,28181] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-43:1] [25:9:1] |
Generators of the group modulo torsion |
j |
-50727753472/57319 |
j-invariant |
L |
7.2389402371443 |
L(r)(E,1)/r! |
Ω |
1.608900596019 |
Real period |
R |
0.37494238068827 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5332a1 |
Quadratic twists by: -3 |