Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920ci |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
-3855909231820800 = -1 · 215 · 38 · 52 · 72 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,39199,-39201] |
[a1,a2,a3,a4,a6] |
Generators |
[34:1155:1] |
Generators of the group modulo torsion |
j |
203276728065592/117673011225 |
j-invariant |
L |
7.0011073921806 |
L(r)(E,1)/r! |
Ω |
0.26292186763954 |
Real period |
R |
0.83212784075224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920k3 36960bh2 |
Quadratic twists by: -4 8 |