Atkin-Lehner |
2+ 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640ba |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
41152179600000000 = 210 · 34 · 58 · 74 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-103160,-8243100] |
[a1,a2,a3,a4,a6] |
j |
118566490663726564/40187675390625 |
j-invariant |
L |
4.3792094396574 |
L(r)(E,1)/r! |
Ω |
0.27370058997905 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
19320r3 115920bd4 |
Quadratic twists by: -4 -3 |