Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
69828bd |
Isogeny class |
Conductor |
69828 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
8107776 |
Modular degree for the optimal curve |
Δ |
-9.3978954383566E+23 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 11- 3 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16007716,52750061396] |
[a1,a2,a3,a4,a6] |
Generators |
[23626:-1414017:8] |
Generators of the group modulo torsion |
j |
-22628157757264/46877879169 |
j-invariant |
L |
5.692163123253 |
L(r)(E,1)/r! |
Ω |
0.078515376938346 |
Real period |
R |
0.67127250932409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69828x1 |
Quadratic twists by: -23 |