Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59150bv |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-13726238093750 = -1 · 2 · 56 · 7 · 137 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-66176263,-207233165469] |
[a1,a2,a3,a4,a6] |
Generators |
[684750:199052271:8] |
Generators of the group modulo torsion |
j |
-424962187484640625/182 |
j-invariant |
L |
8.2156077522288 |
L(r)(E,1)/r! |
Ω |
0.026466346821251 |
Real period |
R |
8.6226984022747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
9.0000000000452 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2366a3 4550b3 |
Quadratic twists by: 5 13 |