Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
63580c |
Isogeny class |
Conductor |
63580 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14688 |
Modular degree for the optimal curve |
Δ |
-20345600 = -1 · 28 · 52 · 11 · 172 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 11- 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-181,1025] |
[a1,a2,a3,a4,a6] |
Generators |
[8:5:1] |
Generators of the group modulo torsion |
j |
-8912896/275 |
j-invariant |
L |
4.8685965722699 |
L(r)(E,1)/r! |
Ω |
2.1513465588629 |
Real period |
R |
1.1315230807771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000128 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63580l1 |
Quadratic twists by: 17 |