Atkin-Lehner |
2+ 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640ba |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-42099985687065600 = -1 · 210 · 3 · 52 · 7 · 238 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-82080,-13420572] |
[a1,a2,a3,a4,a6] |
j |
-59722927783102084/41113267272525 |
j-invariant |
L |
4.3792094396574 |
L(r)(E,1)/r! |
Ω |
0.13685029498952 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19320r4 115920bd3 |
Quadratic twists by: -4 -3 |