Atkin-Lehner |
2- 3+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10608r |
Isogeny class |
Conductor |
10608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-390868478208 = -1 · 28 · 312 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 0 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3068,-70980] |
[a1,a2,a3,a4,a6] |
Generators |
[8599666984:-154002737889:25934336] |
Generators of the group modulo torsion |
j |
-12479332642000/1526829993 |
j-invariant |
L |
4.4538141049449 |
L(r)(E,1)/r! |
Ω |
0.31854985952058 |
Real period |
R |
13.981529019187 |
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 |
2652f2 42432cd2 31824bm2 |
Quadratic twists by: -4 8 -3 |