Atkin-Lehner |
2- 3- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
22260h |
Isogeny class |
Conductor |
22260 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
336960 |
Modular degree for the optimal curve |
Δ |
-46196809293600000 = -1 · 28 · 33 · 55 · 79 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1110676,450284324] |
[a1,a2,a3,a4,a6] |
j |
-591897220318314566224/180456286303125 |
j-invariant |
L |
3.1604747377569 |
L(r)(E,1)/r! |
Ω |
0.35116385975078 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
89040bd1 66780p1 111300e1 |
Quadratic twists by: -4 -3 5 |