Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40768bc |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
2 |
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] |
j |
-2146689/1664 |
j-invariant |
L |
0.48215456604934 |
L(r)(E,1)/r! |
Ω |
0.2410772829921 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40768db1 1274n1 832f1 |
Quadratic twists by: -4 8 -7 |