Atkin-Lehner |
2- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
3770d |
Isogeny class |
Conductor |
3770 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-4390589032710400 = -1 · 28 · 52 · 138 · 292 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 2 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-84913,-10021919] |
[a1,a2,a3,a4,a6] |
j |
-67708231728434700129/4390589032710400 |
j-invariant |
L |
2.2290614235147 |
L(r)(E,1)/r! |
Ω |
0.13931633896967 |
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 |
30160n2 120640bn2 33930n2 18850b2 |
Quadratic twists by: -4 8 -3 5 |