Atkin-Lehner |
2- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36652g |
Isogeny class |
Conductor |
36652 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-17739568 = -1 · 24 · 72 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11+ -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56,-259] |
[a1,a2,a3,a4,a6] |
Generators |
[130:447:8] |
Generators of the group modulo torsion |
j |
-24772608/22627 |
j-invariant |
L |
3.7277895615433 |
L(r)(E,1)/r! |
Ω |
0.84085273857439 |
Real period |
R |
4.4333441404529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36652c1 |
Quadratic twists by: -7 |