Atkin-Lehner |
2- 5- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
116560s |
Isogeny class |
Conductor |
116560 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-745984000 = -1 · 212 · 53 · 31 · 47 |
Discriminant |
Eigenvalues |
2- 0 5- -1 -6 0 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,133,-1174] |
[a1,a2,a3,a4,a6] |
Generators |
[7:10:1] [10:34:1] |
Generators of the group modulo torsion |
j |
63521199/182125 |
j-invariant |
L |
11.305675138688 |
L(r)(E,1)/r! |
Ω |
0.82129034039914 |
Real period |
R |
2.2942911863959 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001759 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7285f1 |
Quadratic twists by: -4 |