Atkin-Lehner |
2- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
42560bv |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-2179072000 = -1 · 217 · 53 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -1 -3 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-908,10768] |
[a1,a2,a3,a4,a6] |
Generators |
[18:16:1] [-14:144:1] |
Generators of the group modulo torsion |
j |
-631642482/16625 |
j-invariant |
L |
8.1159258784615 |
L(r)(E,1)/r! |
Ω |
1.4600567524255 |
Real period |
R |
1.3896593171771 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42560s1 10640e1 |
Quadratic twists by: -4 8 |