Atkin-Lehner |
2- 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22218t |
Isogeny class |
Conductor |
22218 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2826452324403510768 = 24 · 32 · 78 · 237 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9370717,-11044581181] |
[a1,a2,a3,a4,a6] |
Generators |
[653805:35700026:125] |
Generators of the group modulo torsion |
j |
614716917569296417/19093020912 |
j-invariant |
L |
7.9748093020942 |
L(r)(E,1)/r! |
Ω |
0.086289342192445 |
Real period |
R |
11.5524251018 |
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 |
66654j4 966g4 |
Quadratic twists by: -3 -23 |