Atkin-Lehner |
2+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
81928c |
Isogeny class |
Conductor |
81928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
6294692096 = 28 · 76 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 11+ -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3479,78890] |
[a1,a2,a3,a4,a6] |
j |
154617552/209 |
j-invariant |
L |
1.3370484026012 |
L(r)(E,1)/r! |
Ω |
1.3370483349633 |
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 |
1672c1 |
Quadratic twists by: -7 |