Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568bx |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-11672754221838528 = -1 · 26 · 33 · 72 · 1310 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -6 13+ 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60558,-7720740] |
[a1,a2,a3,a4,a6] |
Generators |
[9109044:156422006:19683] |
Generators of the group modulo torsion |
j |
-79507000000/37786203 |
j-invariant |
L |
6.0111774125141 |
L(r)(E,1)/r! |
Ω |
0.14878414682465 |
Real period |
R |
10.100500521332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003728 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113568y1 8736c1 |
Quadratic twists by: -4 13 |