Atkin-Lehner |
2- 3- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
47268c |
Isogeny class |
Conductor |
47268 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13248 |
Modular degree for the optimal curve |
Δ |
199092816 = 24 · 36 · 132 · 101 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264,1505] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:45:1] |
Generators of the group modulo torsion |
j |
174456832/17069 |
j-invariant |
L |
6.8341040363144 |
L(r)(E,1)/r! |
Ω |
1.7364842849369 |
Real period |
R |
1.3118659918368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5252a1 |
Quadratic twists by: -3 |