Atkin-Lehner |
2- 11+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8602c |
Isogeny class |
Conductor |
8602 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-49609179136 = -1 · 220 · 112 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 0 -2 0 11+ -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,644,8511] |
[a1,a2,a3,a4,a6] |
Generators |
[87:803:1] |
Generators of the group modulo torsion |
j |
29581036207983/49609179136 |
j-invariant |
L |
5.371475571743 |
L(r)(E,1)/r! |
Ω |
0.77136722373668 |
Real period |
R |
2.7854310665275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68816k1 77418k1 94622b1 |
Quadratic twists by: -4 -3 -11 |