Atkin-Lehner |
2+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768bm |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2838528 |
Modular degree for the optimal curve |
Δ |
-6.7621958793979E+20 |
Discriminant |
Eigenvalues |
2+ 1 4 7- 1 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14452321,-21189075713] |
[a1,a2,a3,a4,a6] |
Generators |
[173573723036637762231:-1092278410504576107520:39377914686043597] |
Generators of the group modulo torsion |
j |
-10824513276632329/21926008832 |
j-invariant |
L |
9.3786982494331 |
L(r)(E,1)/r! |
Ω |
0.038710826348108 |
Real period |
R |
30.28448090043 |
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 |
40768ds1 1274d1 5824c1 |
Quadratic twists by: -4 8 -7 |