Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600cs |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-78102144000000 = -1 · 213 · 39 · 56 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -3 1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-675,425250] |
[a1,a2,a3,a4,a6] |
Generators |
[9:648:1] |
Generators of the group modulo torsion |
j |
-27/62 |
j-invariant |
L |
6.1854843888207 |
L(r)(E,1)/r! |
Ω |
0.49102996807335 |
Real period |
R |
1.5746198768259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13950c1 111600cr1 4464o1 |
Quadratic twists by: -4 -3 5 |