Atkin-Lehner |
2- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
8008d |
Isogeny class |
Conductor |
8008 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
59520 |
Modular degree for the optimal curve |
Δ |
-9751234149552896 = -1 · 28 · 72 · 115 · 136 |
Discriminant |
Eigenvalues |
2- 3 1 7- 11+ 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,32348,-4190188] |
[a1,a2,a3,a4,a6] |
j |
14622648823378944/38090758396691 |
j-invariant |
L |
5.0512111547257 |
L(r)(E,1)/r! |
Ω |
0.2104671314469 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16016c1 64064r1 72072s1 56056q1 |
Quadratic twists by: -4 8 -3 -7 |