Atkin-Lehner |
2- 7- 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
116144t |
Isogeny class |
Conductor |
116144 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
-193499096682416 = -1 · 24 · 79 · 173 · 61 |
Discriminant |
Eigenvalues |
2- -1 1 7- -3 -6 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38645,3012604] |
[a1,a2,a3,a4,a6] |
Generators |
[60:952:1] [536:11662:1] |
Generators of the group modulo torsion |
j |
-398928351525339136/12093693542651 |
j-invariant |
L |
10.332254820652 |
L(r)(E,1)/r! |
Ω |
0.56401062467495 |
Real period |
R |
0.67849094974644 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000172 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29036a1 |
Quadratic twists by: -4 |