Atkin-Lehner |
2- 3+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
7332b |
Isogeny class |
Conductor |
7332 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2400 |
Modular degree for the optimal curve |
Δ |
-577263024 = -1 · 24 · 310 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,123,990] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:15:1] |
Generators of the group modulo torsion |
j |
12758024192/36078939 |
j-invariant |
L |
3.9422254782762 |
L(r)(E,1)/r! |
Ω |
1.1488961388722 |
Real period |
R |
2.2875438692228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29328x1 117312y1 21996f1 95316d1 |
Quadratic twists by: -4 8 -3 13 |