Atkin-Lehner |
2- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
4522i |
Isogeny class |
Conductor |
4522 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
9360 |
Modular degree for the optimal curve |
Δ |
-340622082836 = -1 · 22 · 7 · 173 · 195 |
Discriminant |
Eigenvalues |
2- 3 1 7- 4 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,663,27133] |
[a1,a2,a3,a4,a6] |
j |
32275892242719/340622082836 |
j-invariant |
L |
7.0688266164854 |
L(r)(E,1)/r! |
Ω |
0.70688266164854 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36176o1 40698r1 113050o1 31654v1 |
Quadratic twists by: -4 -3 5 -7 |