Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40768ct |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-70410202825883648 = -1 · 227 · 79 · 13 |
Discriminant |
Eigenvalues |
2- -1 -2 7- -5 13+ 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6347329,6157222625] |
[a1,a2,a3,a4,a6] |
Generators |
[1307:9604:1] |
Generators of the group modulo torsion |
j |
-2673465150439/6656 |
j-invariant |
L |
3.0292609735939 |
L(r)(E,1)/r! |
Ω |
0.29990312349145 |
Real period |
R |
2.5251995863913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40768r1 10192bj1 40768dl1 |
Quadratic twists by: -4 8 -7 |