Atkin-Lehner |
2+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
82280i |
Isogeny class |
Conductor |
82280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
4818645920000 = 28 · 54 · 116 · 17 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 11- -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-428380,108060372] |
[a1,a2,a3,a4,a6] |
Generators |
[-711:7260:1] |
Generators of the group modulo torsion |
j |
19169739408976/10625 |
j-invariant |
L |
8.5983616174978 |
L(r)(E,1)/r! |
Ω |
0.63301619997953 |
Real period |
R |
3.3957905076647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
680c1 |
Quadratic twists by: -11 |