Atkin-Lehner |
2- 3- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
117648cb |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
790413852672 = 214 · 310 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 2 4 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-198435,34023202] |
[a1,a2,a3,a4,a6] |
Generators |
[263:-162:1] |
Generators of the group modulo torsion |
j |
289395025998625/264708 |
j-invariant |
L |
9.1543382701567 |
L(r)(E,1)/r! |
Ω |
0.74926930405641 |
Real period |
R |
0.76360546831008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000284573 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14706c1 39216bi1 |
Quadratic twists by: -4 -3 |