Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
54096q |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
8553673368576 = 210 · 32 · 79 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -2 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22752,-1321020] |
[a1,a2,a3,a4,a6] |
Generators |
[818:22980:1] |
Generators of the group modulo torsion |
j |
31522396/207 |
j-invariant |
L |
8.9731241479395 |
L(r)(E,1)/r! |
Ω |
0.38887936548859 |
Real period |
R |
5.7685782174889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999843 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27048d1 54096e1 |
Quadratic twists by: -4 -7 |