Atkin-Lehner |
2- 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
106722ea |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-6629428913184 = -1 · 25 · 33 · 78 · 113 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 11+ -6 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2122,-118555] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1549:1] [45:235:1] |
Generators of the group modulo torsion |
j |
5103/32 |
j-invariant |
L |
15.902549210221 |
L(r)(E,1)/r! |
Ω |
0.37481098384234 |
Real period |
R |
0.70713639215286 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999377 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722a1 106722ek1 106722b1 |
Quadratic twists by: -3 -7 -11 |