Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640cg |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4.8879411266379E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8853440,35135232000] |
[a1,a2,a3,a4,a6] |
Generators |
[10002:973182:1] |
Generators of the group modulo torsion |
j |
-18736995756767139956161/119334500162058560400 |
j-invariant |
L |
5.5830706959446 |
L(r)(E,1)/r! |
Ω |
0.080344738651815 |
Real period |
R |
8.6861174571421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830bi4 115920dn3 |
Quadratic twists by: -4 -3 |