Atkin-Lehner |
2- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
21350r |
Isogeny class |
Conductor |
21350 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
458487758848000000 = 236 · 56 · 7 · 61 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -3 4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1404388,-640344219] |
[a1,a2,a3,a4,a6] |
Generators |
[-675:1137:1] |
Generators of the group modulo torsion |
j |
19604918227371765625/29343216566272 |
j-invariant |
L |
5.8191088135597 |
L(r)(E,1)/r! |
Ω |
0.13869691900391 |
Real period |
R |
0.58271630202257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
854b3 |
Quadratic twists by: 5 |