Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23616bl |
Isogeny class |
Conductor |
23616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-6.3886261114808E+19 |
Discriminant |
Eigenvalues |
2- 3- 1 2 -2 1 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-100812,-384755312] |
[a1,a2,a3,a4,a6] |
Generators |
[635233238:56713936896:79507] |
Generators of the group modulo torsion |
j |
-592915705201/334302806016 |
j-invariant |
L |
6.3964481928913 |
L(r)(E,1)/r! |
Ω |
0.088300674534103 |
Real period |
R |
9.0549254389061 |
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 |
23616f1 5904l1 7872bf1 |
Quadratic twists by: -4 8 -3 |