Atkin-Lehner |
3- 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
18249n |
Isogeny class |
Conductor |
18249 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-10647251307 = -1 · 36 · 75 · 11 · 79 |
Discriminant |
Eigenvalues |
0 3- 2 7- 11+ -5 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-187,4999] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:73:1] |
Generators of the group modulo torsion |
j |
-727057727488/10647251307 |
j-invariant |
L |
5.5477596604035 |
L(r)(E,1)/r! |
Ω |
1.0849134824201 |
Real period |
R |
0.17045167657143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54747u1 127743d1 |
Quadratic twists by: -3 -7 |