Atkin-Lehner |
2- 3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710bm |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
1881792 |
Modular degree for the optimal curve |
Δ |
-2.0018183626166E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 11+ -6 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5019,-215261397] |
[a1,a2,a3,a4,a6] |
Generators |
[897:22178:1] |
Generators of the group modulo torsion |
j |
5929741/8489664000 |
j-invariant |
L |
5.8146867541369 |
L(r)(E,1)/r! |
Ω |
0.099347797271897 |
Real period |
R |
1.0838628262375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000397 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61710a1 |
Quadratic twists by: -11 |