Atkin-Lehner |
5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
46255i |
Isogeny class |
Conductor |
46255 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-32715282655 = -1 · 5 · 11 · 296 |
Discriminant |
Eigenvalues |
-1 0 5- 0 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,683,5164] |
[a1,a2,a3,a4,a6] |
Generators |
[241710:2058458:3375] |
Generators of the group modulo torsion |
j |
59319/55 |
j-invariant |
L |
3.77858986619 |
L(r)(E,1)/r! |
Ω |
0.76407678726219 |
Real period |
R |
9.8906024346638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55a4 |
Quadratic twists by: 29 |