Atkin-Lehner |
3+ 7+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8211a |
Isogeny class |
Conductor |
8211 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
10863153 = 34 · 73 · 17 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 2 7+ -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2797,-58102] |
[a1,a2,a3,a4,a6] |
Generators |
[7645:4323:125] |
Generators of the group modulo torsion |
j |
2419974644672593/10863153 |
j-invariant |
L |
2.1806038993873 |
L(r)(E,1)/r! |
Ω |
0.65648641939534 |
Real period |
R |
6.6432566918771 |
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 |
24633i1 57477p1 |
Quadratic twists by: -3 -7 |