Atkin-Lehner |
3- 7+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
59787c |
Isogeny class |
Conductor |
59787 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
-4983186663 = -1 · 37 · 74 · 13 · 73 |
Discriminant |
Eigenvalues |
1 3- -2 7+ -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,387,1624] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:157:8] [8:68:1] |
Generators of the group modulo torsion |
j |
8780064047/6835647 |
j-invariant |
L |
9.9543336966234 |
L(r)(E,1)/r! |
Ω |
0.87716344863571 |
Real period |
R |
5.6741612478857 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19929b1 |
Quadratic twists by: -3 |