Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664bt |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-1.6133032117887E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20919297,-37337764257] |
[a1,a2,a3,a4,a6] |
Generators |
[9707:821184:1] |
Generators of the group modulo torsion |
j |
-3862113817658457666817/61542633506345208 |
j-invariant |
L |
7.6987032042846 |
L(r)(E,1)/r! |
Ω |
0.035263197038412 |
Real period |
R |
6.8225372439038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664cs5 1302l6 124992cf5 |
Quadratic twists by: -4 8 -3 |