Atkin-Lehner |
3+ 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
8211d |
Isogeny class |
Conductor |
8211 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-102800430873 = -1 · 32 · 74 · 17 · 234 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,276,-15210] |
[a1,a2,a3,a4,a6] |
j |
2324623420223/102800430873 |
j-invariant |
L |
1.0181887110476 |
L(r)(E,1)/r! |
Ω |
0.50909435552382 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24633j3 57477n3 |
Quadratic twists by: -3 -7 |