Atkin-Lehner |
2- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
111328bc |
Isogeny class |
Conductor |
111328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
503158472330752 = 29 · 712 · 71 |
Discriminant |
Eigenvalues |
2- 0 -4 7- -4 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31507,1862490] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:1764:1] [134:216:1] |
Generators of the group modulo torsion |
j |
57423104712/8353079 |
j-invariant |
L |
7.7120749811784 |
L(r)(E,1)/r! |
Ω |
0.50189789432935 |
Real period |
R |
15.365824531874 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005182 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111328f2 15904g2 |
Quadratic twists by: -4 -7 |