Atkin-Lehner |
2- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
42560dc |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-12586319872000 = -1 · 221 · 53 · 7 · 193 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -3 -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2015,167775] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:285:1] [-25:320:1] |
Generators of the group modulo torsion |
j |
3449795831/48013000 |
j-invariant |
L |
6.552340241803 |
L(r)(E,1)/r! |
Ω |
0.52692986433849 |
Real period |
R |
0.3454149469962 |
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 |
42560bm2 10640k2 |
Quadratic twists by: -4 8 |