Atkin-Lehner |
2+ 7+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
120274b |
Isogeny class |
Conductor |
120274 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
146488320 |
Modular degree for the optimal curve |
Δ |
-1.2700366019199E+29 |
Discriminant |
Eigenvalues |
2+ -1 2 7+ 11- 1 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1569993999,29449318027045] |
[a1,a2,a3,a4,a6] |
j |
-1996531692638013950323993/592481447932110700544 |
j-invariant |
L |
1.5622715748721 |
L(r)(E,1)/r! |
Ω |
0.031245452953009 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120274p1 |
Quadratic twists by: -11 |