Atkin-Lehner |
2- 5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
47300b |
Isogeny class |
Conductor |
47300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
9460000000 = 28 · 57 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 11+ -5 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-533,-937] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:25:1] [-7:50:1] |
Generators of the group modulo torsion |
j |
4194304/2365 |
j-invariant |
L |
10.039032045913 |
L(r)(E,1)/r! |
Ω |
1.0699475354795 |
Real period |
R |
0.78189441639421 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9460a1 |
Quadratic twists by: 5 |