Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728ff |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-3068939604197376 = -1 · 217 · 37 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 3 13- 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53067,5407738] |
[a1,a2,a3,a4,a6] |
Generators |
[119:-882:1] |
Generators of the group modulo torsion |
j |
-47045881/8736 |
j-invariant |
L |
8.3207458331941 |
L(r)(E,1)/r! |
Ω |
0.43197626591341 |
Real period |
R |
1.203877748965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992399 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11466cj1 30576cy1 13104cb1 |
Quadratic twists by: -4 -3 -7 |