Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
13950cy |
Isogeny class |
Conductor |
13950 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-38135812500000 = -1 · 25 · 39 · 59 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 5 4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24305,-1482303] |
[a1,a2,a3,a4,a6] |
Generators |
[269:3240:1] |
Generators of the group modulo torsion |
j |
-1115157653/26784 |
j-invariant |
L |
7.5789606135005 |
L(r)(E,1)/r! |
Ω |
0.19091079917974 |
Real period |
R |
0.99247405674065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111600fu1 4650j1 13950bo1 |
Quadratic twists by: -4 -3 5 |