Atkin-Lehner |
3+ 7+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8211b |
Isogeny class |
Conductor |
8211 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
896 |
Modular degree for the optimal curve |
Δ |
418761 = 32 · 7 · 172 · 23 |
Discriminant |
Eigenvalues |
1 3+ 2 7+ 0 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-24,-45] |
[a1,a2,a3,a4,a6] |
j |
1630532233/418761 |
j-invariant |
L |
2.1861321753005 |
L(r)(E,1)/r! |
Ω |
2.1861321753005 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24633f1 57477l1 |
Quadratic twists by: -3 -7 |