Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31824t |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
18842506528555008 = 220 · 314 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -2 13+ 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2560035,1576569634] |
[a1,a2,a3,a4,a6] |
Generators |
[1073:8064:1] |
Generators of the group modulo torsion |
j |
621403856941038625/6310317312 |
j-invariant |
L |
6.0273924618546 |
L(r)(E,1)/r! |
Ω |
0.34962407829967 |
Real period |
R |
2.1549547199264 |
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 |
3978a2 127296cp2 10608v2 |
Quadratic twists by: -4 8 -3 |