Atkin-Lehner |
2+ 3- 29+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
12354d |
Isogeny class |
Conductor |
12354 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
49728 |
Modular degree for the optimal curve |
Δ |
18444423168 = 212 · 37 · 29 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-93835,-11071306] |
[a1,a2,a3,a4,a6] |
Generators |
[1423:51608:1] |
Generators of the group modulo torsion |
j |
91371685016636673193/18444423168 |
j-invariant |
L |
4.1593534519771 |
L(r)(E,1)/r! |
Ω |
0.27277772298654 |
Real period |
R |
4.3566119973203 |
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 |
98832g1 37062m1 |
Quadratic twists by: -4 -3 |