Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
17472dc |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-2060577792 = -1 · 210 · 35 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13- -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,203,-1813] |
[a1,a2,a3,a4,a6] |
Generators |
[14:63:1] |
Generators of the group modulo torsion |
j |
899022848/2012283 |
j-invariant |
L |
7.0471386496908 |
L(r)(E,1)/r! |
Ω |
0.76264197262358 |
Real period |
R |
0.9240428540076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17472e1 4368s1 52416go1 122304fj1 |
Quadratic twists by: -4 8 -3 -7 |