Atkin-Lehner |
2- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
2210g |
Isogeny class |
Conductor |
2210 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1320660640000 = 28 · 54 · 134 · 172 |
Discriminant |
Eigenvalues |
2- 0 5- -4 0 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2862,-19651] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:211:1] |
Generators of the group modulo torsion |
j |
2591733435976881/1320660640000 |
j-invariant |
L |
4.1997795250361 |
L(r)(E,1)/r! |
Ω |
0.68914698064876 |
Real period |
R |
0.38088568576133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17680o2 70720f2 19890h2 11050a2 |
Quadratic twists by: -4 8 -3 5 |