Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3822z |
Isogeny class |
Conductor |
3822 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-19493449708142592 = -1 · 216 · 34 · 710 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- -1 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-182526,-30833349] |
[a1,a2,a3,a4,a6] |
j |
-2380771254001/69009408 |
j-invariant |
L |
3.6893216261974 |
L(r)(E,1)/r! |
Ω |
0.11529130081867 |
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 |
30576df1 122304dx1 11466bg1 95550dn1 |
Quadratic twists by: -4 8 -3 5 |