Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22218z |
Isogeny class |
Conductor |
22218 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
9328014344069316 = 22 · 38 · 74 · 236 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-55027,-1781299] |
[a1,a2,a3,a4,a6] |
j |
124475734657/63011844 |
j-invariant |
L |
5.2611915612132 |
L(r)(E,1)/r! |
Ω |
0.32882447257582 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
66654w3 42a3 |
Quadratic twists by: -3 -23 |