Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
17472l |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
18 |
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 |
[60:273:1] |
Generators of the group modulo torsion |
j |
-99021508447744/6782139 |
j-invariant |
L |
4.5277122560613 |
L(r)(E,1)/r! |
Ω |
1.5907320153619 |
Real period |
R |
0.1581281871189 |
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 |
17472ba1 8736i1 52416cx1 122304dc1 |
Quadratic twists by: -4 8 -3 -7 |