Atkin-Lehner |
2- 3- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
55224o |
Isogeny class |
Conductor |
55224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
133979609088 = 211 · 38 · 132 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 2 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22539,-1302298] |
[a1,a2,a3,a4,a6] |
Generators |
[1226758:27808110:2197] |
Generators of the group modulo torsion |
j |
848145109394/89739 |
j-invariant |
L |
7.7549525022015 |
L(r)(E,1)/r! |
Ω |
0.38964459032087 |
Real period |
R |
9.9513154997148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000156 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110448m2 18408b2 |
Quadratic twists by: -4 -3 |