Atkin-Lehner |
2- 3- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
129948bl |
Isogeny class |
Conductor |
129948 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
3758412764787408 = 24 · 312 · 76 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49457,-3053268] |
[a1,a2,a3,a4,a6] |
j |
7107347955712/1996623837 |
j-invariant |
L |
3.9234226446179 |
L(r)(E,1)/r! |
Ω |
0.3269520083859 |
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 |
2652a1 |
Quadratic twists by: -7 |