Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22506bn |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
Δ |
669957167616 = 29 · 3 · 114 · 313 |
Discriminant |
Eigenvalues |
2- 3- 3 -4 11- -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6586819,-6507262783] |
[a1,a2,a3,a4,a6] |
Generators |
[-185230:92657:125] |
Generators of the group modulo torsion |
j |
2158639721565356908417/45758976 |
j-invariant |
L |
10.318572877415 |
L(r)(E,1)/r! |
Ω |
0.09423898978202 |
Real period |
R |
4.0553211225435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67518z2 22506s2 |
Quadratic twists by: -3 -11 |