Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304eq |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-294562824192 = -1 · 220 · 32 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 3 13- 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1503,-13887] |
[a1,a2,a3,a4,a6] |
Generators |
[93:960:1] |
Generators of the group modulo torsion |
j |
596183/468 |
j-invariant |
L |
7.6436188219191 |
L(r)(E,1)/r! |
Ω |
0.54104206847019 |
Real period |
R |
1.7659483477393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006141 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304co1 30576ck1 122304hk1 |
Quadratic twists by: -4 8 -7 |