Atkin-Lehner |
2- 3- 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22620l |
Isogeny class |
Conductor |
22620 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
17643600 = 24 · 32 · 52 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 13- 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:15:1] |
Generators of the group modulo torsion |
j |
1927561216/1102725 |
j-invariant |
L |
5.8023173615412 |
L(r)(E,1)/r! |
Ω |
1.872147623965 |
Real period |
R |
0.51654734979824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90480bk1 67860o1 113100d1 |
Quadratic twists by: -4 -3 5 |