Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520bd |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1255606272000 = 214 · 36 · 53 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24348,1461328] |
[a1,a2,a3,a4,a6] |
j |
133649126224/105125 |
j-invariant |
L |
1.7099561637398 |
L(r)(E,1)/r! |
Ω |
0.85497811516487 |
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 |
83520er2 10440bd2 9280l2 |
Quadratic twists by: -4 8 -3 |