Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13328p |
Isogeny class |
Conductor |
13328 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3944300087877632 = 213 · 78 · 174 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-414491,-102667446] |
[a1,a2,a3,a4,a6] |
Generators |
[17829:2379048:1] |
Generators of the group modulo torsion |
j |
16342588257633/8185058 |
j-invariant |
L |
3.7595750734662 |
L(r)(E,1)/r! |
Ω |
0.18816282871985 |
Real period |
R |
2.4975543117656 |
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 |
1666k3 53312bs4 119952gl4 1904c3 |
Quadratic twists by: -4 8 -3 -7 |