Atkin-Lehner |
2+ 11- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
49192b |
Isogeny class |
Conductor |
49192 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
2364856208 = 24 · 11 · 132 · 433 |
Discriminant |
Eigenvalues |
2+ 0 0 -3 11- 13+ 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-335,-309] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:43:1] |
Generators of the group modulo torsion |
j |
259859232000/147803513 |
j-invariant |
L |
4.1137425931772 |
L(r)(E,1)/r! |
Ω |
1.205946798316 |
Real period |
R |
0.28426783274441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98384a1 |
Quadratic twists by: -4 |