Atkin-Lehner |
2+ 3+ 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
82950h |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
186637500000 = 25 · 33 · 58 · 7 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1592640000,-24464498796000] |
[a1,a2,a3,a4,a6] |
j |
28592790601095124959885926401/11944800 |
j-invariant |
L |
1.7206901042458 |
L(r)(E,1)/r! |
Ω |
0.023898472857831 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
144 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16590y3 |
Quadratic twists by: 5 |