Atkin-Lehner |
2+ 5- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
8710h |
Isogeny class |
Conductor |
8710 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1141637120 = 218 · 5 · 13 · 67 |
Discriminant |
Eigenvalues |
2+ -2 5- -1 -6 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1080378,-432316564] |
[a1,a2,a3,a4,a6] |
Generators |
[1341:22369:1] [-38412:19177:64] |
Generators of the group modulo torsion |
j |
139460214921525292705561/1141637120 |
j-invariant |
L |
3.3344927153132 |
L(r)(E,1)/r! |
Ω |
0.1480831587834 |
Real period |
R |
11.258851927212 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69680be3 78390bs3 43550p3 113230q3 |
Quadratic twists by: -4 -3 5 13 |