Atkin-Lehner |
2- 3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440bg |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-81844640856576000 = -1 · 212 · 38 · 53 · 13 · 374 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,101704,5763120] |
[a1,a2,a3,a4,a6] |
j |
28403613600082631/19981601771625 |
j-invariant |
L |
1.7335109477344 |
L(r)(E,1)/r! |
Ω |
0.21668888396609 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7215g4 |
Quadratic twists by: -4 |