Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40768db |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-51319389814784 = -1 · 225 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3 -1 7- -2 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8428,455504] |
[a1,a2,a3,a4,a6] |
Generators |
[4350:48896:27] |
Generators of the group modulo torsion |
j |
-2146689/1664 |
j-invariant |
L |
9.6567945062235 |
L(r)(E,1)/r! |
Ω |
0.58085989676772 |
Real period |
R |
4.1562494501498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40768bc1 10192bn1 832j1 |
Quadratic twists by: -4 8 -7 |