Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
17472ba |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-434056896 = -1 · 26 · 32 · 73 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 4 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3855,-93429] |
[a1,a2,a3,a4,a6] |
Generators |
[330:5889:1] |
Generators of the group modulo torsion |
j |
-99021508447744/6782139 |
j-invariant |
L |
6.6231570262331 |
L(r)(E,1)/r! |
Ω |
0.30293697962353 |
Real period |
R |
3.6438585534985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17472l1 8736m1 52416bz1 122304t1 |
Quadratic twists by: -4 8 -3 -7 |