Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
42560cc |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-149462548480 = -1 · 215 · 5 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1012,-13872] |
[a1,a2,a3,a4,a6] |
Generators |
[21:129:1] |
Generators of the group modulo torsion |
j |
3497963832/4561235 |
j-invariant |
L |
4.1798699622228 |
L(r)(E,1)/r! |
Ω |
0.54926511234685 |
Real period |
R |
3.8049658245741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42560ci3 21280f2 |
Quadratic twists by: -4 8 |