Atkin-Lehner |
2+ 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
73346j |
Isogeny class |
Conductor |
73346 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
454579218002 = 2 · 72 · 136 · 312 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 6 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-88221,10048979] |
[a1,a2,a3,a4,a6] |
Generators |
[4629:-2192:27] |
Generators of the group modulo torsion |
j |
15732118860193/94178 |
j-invariant |
L |
6.9103915195361 |
L(r)(E,1)/r! |
Ω |
0.83476362262065 |
Real period |
R |
4.1391307261934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000783 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
434c2 |
Quadratic twists by: 13 |