Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950bc |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
10616832 |
Modular degree for the optimal curve |
Δ |
-6.5510866511462E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3748475,-2711661875] |
[a1,a2,a3,a4,a6] |
Generators |
[32009802:-1328985893:35937] |
Generators of the group modulo torsion |
j |
3168685387909439/3563732336640 |
j-invariant |
L |
5.3026617307045 |
L(r)(E,1)/r! |
Ω |
0.071991858124787 |
Real period |
R |
9.2070510867049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011411 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990by1 17850u1 |
Quadratic twists by: 5 -7 |