Atkin-Lehner |
3- 5- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
19635t |
Isogeny class |
Conductor |
19635 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3.7222095239919E+20 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11+ -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-59855380,-178241638765] |
[a1,a2,a3,a4,a6] |
j |
23715554832417233918431091521/372220952399189104365 |
j-invariant |
L |
1.7368973152222 |
L(r)(E,1)/r! |
Ω |
0.054278041100693 |
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 |
58905u8 98175f8 |
Quadratic twists by: -3 5 |