Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950ec |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
420 |
Product of Tamagawa factors cp |
deg |
20764800 |
Modular degree for the optimal curve |
Δ |
-1.8551161356201E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 3 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-163276951,803025842798] |
[a1,a2,a3,a4,a6] |
Generators |
[7327:-11314:1] |
Generators of the group modulo torsion |
j |
-25150246105443741612505/96920353207908 |
j-invariant |
L |
6.7597547711739 |
L(r)(E,1)/r! |
Ω |
0.13023064589649 |
Real period |
R |
0.1235857671808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999586891 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950fc1 124950bk1 |
Quadratic twists by: 5 -7 |