Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
14280z |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-3278438271360000 = -1 · 210 · 316 · 54 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-437360,111217008] |
[a1,a2,a3,a4,a6] |
Generators |
[316:2160:1] |
Generators of the group modulo torsion |
j |
-9035286561666509764/3201599874375 |
j-invariant |
L |
6.4086544836616 |
L(r)(E,1)/r! |
Ω |
0.4388563868525 |
Real period |
R |
0.45634621852214 |
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 |
28560q1 114240be1 42840bt1 71400cb1 |
Quadratic twists by: -4 8 -3 5 |