Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
54096br |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-175961280724992 = -1 · 214 · 34 · 78 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- -2 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,13704,-166032] |
[a1,a2,a3,a4,a6] |
Generators |
[812:23360:1] |
Generators of the group modulo torsion |
j |
590589719/365148 |
j-invariant |
L |
6.6378185155525 |
L(r)(E,1)/r! |
Ω |
0.3296083410326 |
Real period |
R |
5.0346257126868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6762v1 7728q1 |
Quadratic twists by: -4 -7 |