Atkin-Lehner |
2- 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22218q |
Isogeny class |
Conductor |
22218 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-15011848157219424 = -1 · 25 · 39 · 7 · 237 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 0 -1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-325346,71534927] |
[a1,a2,a3,a4,a6] |
Generators |
[335:361:1] |
Generators of the group modulo torsion |
j |
-25727239787761/101406816 |
j-invariant |
L |
5.6252299558563 |
L(r)(E,1)/r! |
Ω |
0.39590425336662 |
Real period |
R |
0.7104280780039 |
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 |
66654f1 966h1 |
Quadratic twists by: -3 -23 |