Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12138bb |
Isogeny class |
Conductor |
12138 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-389290712832 = -1 · 28 · 32 · 7 · 176 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1162,33572] |
[a1,a2,a3,a4,a6] |
j |
-7189057/16128 |
j-invariant |
L |
6.7433585710794 |
L(r)(E,1)/r! |
Ω |
0.84291982138493 |
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 |
97104bj1 36414bi1 84966cz1 42a1 |
Quadratic twists by: -4 -3 -7 17 |