Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920cg |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-99213744537600 = -1 · 234 · 3 · 52 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2239,478239] |
[a1,a2,a3,a4,a6] |
Generators |
[3684:57285:64] |
Generators of the group modulo torsion |
j |
4733169839/378470400 |
j-invariant |
L |
7.0769172506087 |
L(r)(E,1)/r! |
Ω |
0.45772029853114 |
Real period |
R |
7.7306132938546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001731 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920eq1 2310n1 |
Quadratic twists by: -4 8 |