Atkin-Lehner |
2+ 3+ 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
14322b |
Isogeny class |
Conductor |
14322 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
43858317888 = 26 · 33 · 74 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 11- -6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14773,-697235] |
[a1,a2,a3,a4,a6] |
j |
356595401944553689/43858317888 |
j-invariant |
L |
1.7321749307721 |
L(r)(E,1)/r! |
Ω |
0.43304373269302 |
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 |
114576br1 42966bj1 100254bc1 |
Quadratic twists by: -4 -3 -7 |