Atkin-Lehner |
3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
31605p |
Isogeny class |
Conductor |
31605 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
1.7477078887939E+19 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 6 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1930861,1012280791] |
[a1,a2,a3,a4,a6] |
Generators |
[709:451:1] |
Generators of the group modulo torsion |
j |
331577313840263593984/7279083251953125 |
j-invariant |
L |
5.2518262732667 |
L(r)(E,1)/r! |
Ω |
0.21860162238983 |
Real period |
R |
2.6694049486265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94815ba2 31605l2 |
Quadratic twists by: -3 -7 |