Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
42560bm |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
6 |
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 |
[147:1812:1] |
Generators of the group modulo torsion |
j |
3449795831/48013000 |
j-invariant |
L |
9.4509096454707 |
L(r)(E,1)/r! |
Ω |
0.34823306855659 |
Real period |
R |
4.5232683217211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42560dc2 1330e2 |
Quadratic twists by: -4 8 |