Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568cb |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-16192129314816 = -1 · 212 · 32 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 0 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4957,237301] |
[a1,a2,a3,a4,a6] |
Generators |
[87:676:1] |
Generators of the group modulo torsion |
j |
-681472/819 |
j-invariant |
L |
5.0598342785186 |
L(r)(E,1)/r! |
Ω |
0.63023221266593 |
Real period |
R |
0.50178273736104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999229317 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113568bf1 8736a1 |
Quadratic twists by: -4 13 |