Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20808c |
Isogeny class |
Conductor |
20808 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-15980544 = -1 · 211 · 33 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 3 0 -1 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51,238] |
[a1,a2,a3,a4,a6] |
Generators |
[2:12:1] |
Generators of the group modulo torsion |
j |
-918 |
j-invariant |
L |
6.4768865058712 |
L(r)(E,1)/r! |
Ω |
2.0016256379058 |
Real period |
R |
1.6179065613507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41616e1 20808x1 20808g1 |
Quadratic twists by: -4 -3 17 |