Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10640l |
Isogeny class |
Conductor |
10640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-51265654128640 = -1 · 215 · 5 · 74 · 194 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2483,347762] |
[a1,a2,a3,a4,a6] |
Generators |
[89:912:1] |
Generators of the group modulo torsion |
j |
-413327139849/12516028840 |
j-invariant |
L |
3.5449524700918 |
L(r)(E,1)/r! |
Ω |
0.52827419871403 |
Real period |
R |
0.83880503692998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1330c4 42560cu3 95760ew3 53200cp3 |
Quadratic twists by: -4 8 -3 5 |