Atkin-Lehner |
2+ 3+ 5- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
113520i |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
309282969600 = 211 · 33 · 52 · 112 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- -4 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-139320,-19969200] |
[a1,a2,a3,a4,a6] |
Generators |
[746:17050:1] |
Generators of the group modulo torsion |
j |
146028382398549362/151017075 |
j-invariant |
L |
4.9185932640507 |
L(r)(E,1)/r! |
Ω |
0.2471132061224 |
Real period |
R |
4.9760526312857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999712265 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56760i2 |
Quadratic twists by: -4 |