Atkin-Lehner |
2+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17680c |
Isogeny class |
Conductor |
17680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4808960000 = -1 · 211 · 54 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 2 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,413,834] |
[a1,a2,a3,a4,a6] |
Generators |
[15:102:1] |
Generators of the group modulo torsion |
j |
3804029838/2348125 |
j-invariant |
L |
4.4269801878459 |
L(r)(E,1)/r! |
Ω |
0.84625294113209 |
Real period |
R |
1.3078182576014 |
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 |
8840b2 70720t2 88400d2 |
Quadratic twists by: -4 8 5 |