Atkin-Lehner |
3- 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
5217b |
Isogeny class |
Conductor |
5217 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
390144943392851277 = 320 · 373 · 472 |
Discriminant |
Eigenvalues |
1 3- 0 0 4 -4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-212331,22677541] |
[a1,a2,a3,a4,a6] |
Generators |
[53:3375:1] |
Generators of the group modulo torsion |
j |
1058670928315325139625/390144943392851277 |
j-invariant |
L |
5.4899344417949 |
L(r)(E,1)/r! |
Ω |
0.2746836320829 |
Real period |
R |
1.998639088964 |
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 |
83472j2 15651a2 |
Quadratic twists by: -4 -3 |