Atkin-Lehner |
7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
77077o |
Isogeny class |
Conductor |
77077 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41057280 |
Modular degree for the optimal curve |
Δ |
1.1205696201951E+25 |
Discriminant |
Eigenvalues |
-1 1 2 7- 11- 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3618625942,83784037828063] |
[a1,a2,a3,a4,a6] |
Generators |
[55426911367380460213793697297:1528700054800830809510964357407:1736680544635477624656227] |
Generators of the group modulo torsion |
j |
1717274406596164537/3672178237 |
j-invariant |
L |
5.4981918549708 |
L(r)(E,1)/r! |
Ω |
0.061846390754532 |
Real period |
R |
44.450385769422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11011f1 77077x1 |
Quadratic twists by: -7 -11 |