Atkin-Lehner |
2- 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5278f |
Isogeny class |
Conductor |
5278 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
162340724 = 22 · 72 · 134 · 29 |
Discriminant |
Eigenvalues |
2- 2 -2 7- -4 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-594,5291] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:85:1] |
Generators of the group modulo torsion |
j |
23180817201697/162340724 |
j-invariant |
L |
6.7843498507026 |
L(r)(E,1)/r! |
Ω |
1.8267546077992 |
Real period |
R |
1.8569406700104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42224g2 47502r2 36946t2 68614a2 |
Quadratic twists by: -4 -3 -7 13 |