Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840bq |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1965362380800 = 217 · 3 · 52 · 7 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1433656,660239444] |
[a1,a2,a3,a4,a6] |
Generators |
[772:3762:1] |
Generators of the group modulo torsion |
j |
79560762543506753209/479824800 |
j-invariant |
L |
5.1486643219658 |
L(r)(E,1)/r! |
Ω |
0.5672860621158 |
Real period |
R |
4.5379788662204 |
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 |
2730d3 87360fd4 65520dm4 109200dz4 |
Quadratic twists by: -4 8 -3 5 |