Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13776s |
Isogeny class |
Conductor |
13776 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-227741908402176 = -1 · 216 · 3 · 75 · 413 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -2 3 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14720,238772] |
[a1,a2,a3,a4,a6] |
j |
86110813111679/55601051856 |
j-invariant |
L |
3.4862151702141 |
L(r)(E,1)/r! |
Ω |
0.34862151702141 |
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 |
1722h1 55104bz1 41328ci1 96432bp1 |
Quadratic twists by: -4 8 -3 -7 |