Atkin-Lehner |
2- 3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
111300r |
Isogeny class |
Conductor |
111300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1748736 |
Modular degree for the optimal curve |
Δ |
-1.36951171875E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 0 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-611133,-256165137] |
[a1,a2,a3,a4,a6] |
Generators |
[292452:19453125:64] |
Generators of the group modulo torsion |
j |
-6310614306512896/3423779296875 |
j-invariant |
L |
9.0572624649137 |
L(r)(E,1)/r! |
Ω |
0.083267295030754 |
Real period |
R |
4.532222839344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928269 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22260d1 |
Quadratic twists by: 5 |