Atkin-Lehner |
2+ 3- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22770r |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2609222754546540 = 22 · 318 · 5 · 114 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38619,-1569335] |
[a1,a2,a3,a4,a6] |
Generators |
[-141:1099:1] |
Generators of the group modulo torsion |
j |
8737870045868209/3579180733260 |
j-invariant |
L |
4.1877909513122 |
L(r)(E,1)/r! |
Ω |
0.35301926720101 |
Real period |
R |
2.9656957426969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7590q4 113850ef3 |
Quadratic twists by: -3 5 |