Atkin-Lehner |
2+ 3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22770v |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-4748399175564000 = -1 · 25 · 36 · 53 · 11 · 236 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11+ -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-295299,61927605] |
[a1,a2,a3,a4,a6] |
j |
-3906456025693367089/6513579116000 |
j-invariant |
L |
0.86730456174308 |
L(r)(E,1)/r! |
Ω |
0.43365228087155 |
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 |
2530h2 113850dy2 |
Quadratic twists by: -3 5 |