Atkin-Lehner |
2- 3+ 7+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
32802c |
Isogeny class |
Conductor |
32802 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
716800 |
Modular degree for the optimal curve |
Δ |
-31239061774728192 = -1 · 210 · 310 · 7 · 114 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 11- 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-83026,-12568609] |
[a1,a2,a3,a4,a6] |
j |
-63294559894312393249/31239061774728192 |
j-invariant |
L |
5.4960993097051 |
L(r)(E,1)/r! |
Ω |
0.13740248274251 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98406d1 |
Quadratic twists by: -3 |