Atkin-Lehner |
2- 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
117216bd |
Isogeny class |
Conductor |
117216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
18970003008 = 26 · 39 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11+ -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-669,-668] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:72:1] [-9:68:1] |
Generators of the group modulo torsion |
j |
709732288/406593 |
j-invariant |
L |
12.398698205112 |
L(r)(E,1)/r! |
Ω |
1.0181681646421 |
Real period |
R |
6.088728089299 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999998177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117216t1 39072g1 |
Quadratic twists by: -4 -3 |