Atkin-Lehner |
2+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115150ba |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9676800 |
Modular degree for the optimal curve |
Δ |
-1.1730971110771E+22 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 6 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5521050,-1488603500] |
[a1,a2,a3,a4,a6] |
Generators |
[18096376318514428:448402442931912690:65904994578457] |
Generators of the group modulo torsion |
j |
168674019815/106314752 |
j-invariant |
L |
3.9870879127134 |
L(r)(E,1)/r! |
Ω |
0.073122985541015 |
Real period |
R |
27.262890616502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115150ch1 115150w1 |
Quadratic twists by: 5 -7 |