Atkin-Lehner |
2+ 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
2414b |
Isogeny class |
Conductor |
2414 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
46619168 = 25 · 172 · 712 |
Discriminant |
Eigenvalues |
2+ 2 0 0 0 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-145,-651] |
[a1,a2,a3,a4,a6] |
Generators |
[33:162:1] |
Generators of the group modulo torsion |
j |
340799721625/46619168 |
j-invariant |
L |
3.1588580340632 |
L(r)(E,1)/r! |
Ω |
1.387040357762 |
Real period |
R |
2.2774088845981 |
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 |
19312h2 77248d2 21726y2 60350j2 |
Quadratic twists by: -4 8 -3 5 |