Atkin-Lehner |
2- 3- 5+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
71910bb |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
8.6564256490848E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7973618,-8547865743] |
[a1,a2,a3,a4,a6] |
Generators |
[-1767:5583:1] |
Generators of the group modulo torsion |
j |
76906387117870954078681/1187438360642640000 |
j-invariant |
L |
8.4675459462518 |
L(r)(E,1)/r! |
Ω |
0.08992739751993 |
Real period |
R |
1.1209500239371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000515 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23970b2 |
Quadratic twists by: -3 |