Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200hg |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-539237357568000 = -1 · 214 · 310 · 53 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5528,1126548] |
[a1,a2,a3,a4,a6] |
Generators |
[148:-1890:1] |
Generators of the group modulo torsion |
j |
-36495256013/1053197964 |
j-invariant |
L |
7.9648876210532 |
L(r)(E,1)/r! |
Ω |
0.43454515805229 |
Real period |
R |
0.3054875289702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034516 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650n1 109200en1 |
Quadratic twists by: -4 5 |