Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
20286cm |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-23008648812912 = -1 · 24 · 312 · 76 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15665,793041] |
[a1,a2,a3,a4,a6] |
Generators |
[17:720:1] |
Generators of the group modulo torsion |
j |
-4956477625/268272 |
j-invariant |
L |
7.7584977081781 |
L(r)(E,1)/r! |
Ω |
0.6677911344795 |
Real period |
R |
1.452268776042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6762b1 414a1 |
Quadratic twists by: -3 -7 |