Atkin-Lehner |
2- 3- 5- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
14070m |
Isogeny class |
Conductor |
14070 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
567302400 = 28 · 33 · 52 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 4 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1820,29712] |
[a1,a2,a3,a4,a6] |
Generators |
[64:388:1] |
Generators of the group modulo torsion |
j |
666734287826881/567302400 |
j-invariant |
L |
8.7449368427725 |
L(r)(E,1)/r! |
Ω |
1.6259881054327 |
Real period |
R |
0.22409288679999 |
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 |
112560bz1 42210e1 70350d1 98490bh1 |
Quadratic twists by: -4 -3 5 -7 |