Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13920bf |
Isogeny class |
Conductor |
13920 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
-105211146240 = -1 · 212 · 311 · 5 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -3 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27325,-1747765] |
[a1,a2,a3,a4,a6] |
j |
-550884013682176/25686315 |
j-invariant |
L |
4.0846011731899 |
L(r)(E,1)/r! |
Ω |
0.18566368969045 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13920f1 27840q1 41760g1 69600e1 |
Quadratic twists by: -4 8 -3 5 |