Atkin-Lehner |
2+ 3- 5+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
71910h |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
82416384662400 = 27 · 38 · 52 · 174 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-287955,59545525] |
[a1,a2,a3,a4,a6] |
Generators |
[347:-1321:1] |
Generators of the group modulo torsion |
j |
3622187303967916081/113054025600 |
j-invariant |
L |
4.8855846501392 |
L(r)(E,1)/r! |
Ω |
0.56688465946367 |
Real period |
R |
1.0772880709386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000477 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23970q2 |
Quadratic twists by: -3 |