Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18928w |
Isogeny class |
Conductor |
18928 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-1729296921753856 = -1 · 28 · 72 · 1310 |
Discriminant |
Eigenvalues |
2- 0 -3 7- -2 13+ -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,28561,742586] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:6083:8] |
Generators of the group modulo torsion |
j |
73008/49 |
j-invariant |
L |
3.330358306467 |
L(r)(E,1)/r! |
Ω |
0.29656879778207 |
Real period |
R |
5.6148157381584 |
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 |
4732c1 75712cl1 18928k1 |
Quadratic twists by: -4 8 13 |