Atkin-Lehner |
3- 11- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
70587k |
Isogeny class |
Conductor |
70587 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4076611011 = -1 · 36 · 11 · 232 · 312 |
Discriminant |
Eigenvalues |
-1 3- -2 -2 11- 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,394,496] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-112:1] |
Generators of the group modulo torsion |
j |
9300746727/5592059 |
j-invariant |
L |
2.5555589903152 |
L(r)(E,1)/r! |
Ω |
0.85130519234669 |
Real period |
R |
0.75048261553792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003216 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7843b2 |
Quadratic twists by: -3 |