Atkin-Lehner |
2+ 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
9870h |
Isogeny class |
Conductor |
9870 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-4325782637131200 = -1 · 26 · 312 · 52 · 72 · 473 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,40466,446432] |
[a1,a2,a3,a4,a6] |
j |
7328413588716482471/4325782637131200 |
j-invariant |
L |
2.1274386339252 |
L(r)(E,1)/r! |
Ω |
0.26592982924065 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
78960bh1 29610bg1 49350bi1 69090k1 |
Quadratic twists by: -4 -3 5 -7 |