Atkin-Lehner |
2- 3+ 7+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
22134z |
Isogeny class |
Conductor |
22134 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
806000774793354 = 2 · 33 · 78 · 174 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23384,159311] |
[a1,a2,a3,a4,a6] |
Generators |
[32797772:1245233963:21952] |
Generators of the group modulo torsion |
j |
1414103769485156737/806000774793354 |
j-invariant |
L |
6.047361165279 |
L(r)(E,1)/r! |
Ω |
0.43143077215885 |
Real period |
R |
14.01699080253 |
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 |
66402f3 |
Quadratic twists by: -3 |