Atkin-Lehner |
2- 3- 5- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
114390br |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
504 |
Product of Tamagawa factors cp |
deg |
3483648 |
Modular degree for the optimal curve |
Δ |
-1.5328585799878E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 1 0 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-727547,641961771] |
[a1,a2,a3,a4,a6] |
Generators |
[8261:743094:1] |
Generators of the group modulo torsion |
j |
-58422318358507078249/210268666665000000 |
j-invariant |
L |
11.979422959063 |
L(r)(E,1)/r! |
Ω |
0.159765181606 |
Real period |
R |
0.14877269243836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051294 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38130a1 |
Quadratic twists by: -3 |