Atkin-Lehner |
2+ 3+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
10608d |
Isogeny class |
Conductor |
10608 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
7405858512 = 24 · 36 · 133 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 0 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-579,-3222] |
[a1,a2,a3,a4,a6] |
Generators |
[62:442:1] |
Generators of the group modulo torsion |
j |
1343969093632/462866157 |
j-invariant |
L |
3.5541878465495 |
L(r)(E,1)/r! |
Ω |
1.0004351039448 |
Real period |
R |
1.184214025989 |
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 |
5304l1 42432cg1 31824m1 |
Quadratic twists by: -4 8 -3 |