Atkin-Lehner |
2- 3- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
120540bj |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
1.1083681870157E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1224085,495645800] |
[a1,a2,a3,a4,a6] |
Generators |
[47588:10378494:1] |
Generators of the group modulo torsion |
j |
107758260588642304/5888108839725 |
j-invariant |
L |
10.46562874604 |
L(r)(E,1)/r! |
Ω |
0.22400160247035 |
Real period |
R |
2.3360611291353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017332 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17220b1 |
Quadratic twists by: -7 |