Atkin-Lehner |
2- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4180a |
Isogeny class |
Conductor |
4180 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5747500000000 = 28 · 510 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 11+ 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13303,579198] |
[a1,a2,a3,a4,a6] |
j |
1017027087462864/22451171875 |
j-invariant |
L |
0.75836402356579 |
L(r)(E,1)/r! |
Ω |
0.75836402356579 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16720x2 66880bs2 37620l2 20900a2 |
Quadratic twists by: -4 8 -3 5 |