Atkin-Lehner |
2- 3- 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11310m |
Isogeny class |
Conductor |
11310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
21285239040 = 28 · 32 · 5 · 133 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -4 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1905,-31383] |
[a1,a2,a3,a4,a6] |
j |
764579942079121/21285239040 |
j-invariant |
L |
5.7909946706826 |
L(r)(E,1)/r! |
Ω |
0.72387433383533 |
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 |
90480bd1 33930i1 56550h1 |
Quadratic twists by: -4 -3 5 |