Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
22932i |
Isogeny class |
Conductor |
22932 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
11363667968016 = 24 · 36 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 1 13- 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38073,2854789] |
[a1,a2,a3,a4,a6] |
j |
90770176/169 |
j-invariant |
L |
1.435399922072 |
L(r)(E,1)/r! |
Ω |
0.71769996103602 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91728dp1 2548b1 22932m1 |
Quadratic twists by: -4 -3 -7 |