Atkin-Lehner |
2+ 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
124722m |
Isogeny class |
Conductor |
124722 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
747887873937984 = 26 · 310 · 136 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -4 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-101178,-12291980] |
[a1,a2,a3,a4,a6] |
j |
32553430057/212544 |
j-invariant |
L |
0.53558615058293 |
L(r)(E,1)/r! |
Ω |
0.26779266118182 |
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 |
41574o1 738g1 |
Quadratic twists by: -3 13 |