Atkin-Lehner |
2+ 3- 5+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
20910h |
Isogeny class |
Conductor |
20910 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
108773820 = 22 · 33 · 5 · 173 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 3 5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-264,1546] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-3:1] |
Generators of the group modulo torsion |
j |
2023804595449/108773820 |
j-invariant |
L |
4.560452080279 |
L(r)(E,1)/r! |
Ω |
1.85242235745 |
Real period |
R |
1.230942841393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
62730bc1 104550bh1 |
Quadratic twists by: -3 5 |