Atkin-Lehner |
2- 3+ 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
14430z |
Isogeny class |
Conductor |
14430 |
Conductor |
∏ cp |
312 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
2043658962468864000 = 226 · 34 · 53 · 133 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-362395,-48319255] |
[a1,a2,a3,a4,a6] |
Generators |
[-397:5958:1] |
Generators of the group modulo torsion |
j |
5263448502389448325681/2043658962468864000 |
j-invariant |
L |
6.8587200763684 |
L(r)(E,1)/r! |
Ω |
0.20111477655566 |
Real period |
R |
0.43722450521707 |
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 |
115440cw1 43290f1 72150bh1 |
Quadratic twists by: -4 -3 5 |