Atkin-Lehner |
2+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
16016c |
Isogeny class |
Conductor |
16016 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
119040 |
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] |
Generators |
[529:13013:1] |
Generators of the group modulo torsion |
j |
14622648823378944/38090758396691 |
j-invariant |
L |
3.1819734975514 |
L(r)(E,1)/r! |
Ω |
0.28596583663216 |
Real period |
R |
0.18545184365527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8008d1 64064y1 112112q1 |
Quadratic twists by: -4 8 -7 |