Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
82810cs |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
8.5285754171275E+26 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -4 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-239521197,-248052594331] |
[a1,a2,a3,a4,a6] |
Generators |
[207377:-94275564:1] |
Generators of the group modulo torsion |
j |
1218083778723573/683593750000 |
j-invariant |
L |
9.9220327318073 |
L(r)(E,1)/r! |
Ω |
0.041266119275799 |
Real period |
R |
4.293574461814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003634 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11830s2 82810u2 |
Quadratic twists by: -7 13 |