Atkin-Lehner |
2- 3+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
14322i |
Isogeny class |
Conductor |
14322 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
76565412 = 22 · 36 · 7 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-529,-4885] |
[a1,a2,a3,a4,a6] |
j |
16373519373457/76565412 |
j-invariant |
L |
1.9915149410255 |
L(r)(E,1)/r! |
Ω |
0.99575747051273 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114576bu1 42966m1 100254cw1 |
Quadratic twists by: -4 -3 -7 |