Atkin-Lehner |
5+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
22525f |
Isogeny class |
Conductor |
22525 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
122112 |
Modular degree for the optimal curve |
Δ |
20342890625 = 57 · 173 · 53 |
Discriminant |
Eigenvalues |
-1 2 5+ 0 -2 6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-678088,214637656] |
[a1,a2,a3,a4,a6] |
j |
2206794549237788089/1301945 |
j-invariant |
L |
1.4912168720966 |
L(r)(E,1)/r! |
Ω |
0.7456084360483 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4505a1 |
Quadratic twists by: 5 |