Atkin-Lehner |
2+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
42560x |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-142489223818117120 = -1 · 225 · 5 · 73 · 195 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 1 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-227372,45511216] |
[a1,a2,a3,a4,a6] |
j |
-4959007166945889/543553252480 |
j-invariant |
L |
1.2719489366811 |
L(r)(E,1)/r! |
Ω |
0.31798723417456 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42560dh1 1330g1 |
Quadratic twists by: -4 8 |