Atkin-Lehner |
2- 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24768cd |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-162502848 = -1 · 26 · 310 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 2 5 -3 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-696,7094] |
[a1,a2,a3,a4,a6] |
Generators |
[19:27:1] |
Generators of the group modulo torsion |
j |
-799178752/3483 |
j-invariant |
L |
5.3928953865293 |
L(r)(E,1)/r! |
Ω |
1.8260148181421 |
Real period |
R |
1.4766844532007 |
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 |
24768be1 6192v1 8256be1 |
Quadratic twists by: -4 8 -3 |