Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12138bc |
Isogeny class |
Conductor |
12138 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
146880 |
Modular degree for the optimal curve |
Δ |
-85349117769408864 = -1 · 25 · 33 · 72 · 1710 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -1 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,81781,10802001] |
[a1,a2,a3,a4,a6] |
j |
30004847/42336 |
j-invariant |
L |
6.9183027729066 |
L(r)(E,1)/r! |
Ω |
0.23061009243022 |
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 |
97104bn1 36414bk1 84966dh1 12138s1 |
Quadratic twists by: -4 -3 -7 17 |