Atkin-Lehner |
2- 3- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
16926bj |
Isogeny class |
Conductor |
16926 |
Conductor |
∏ cp |
605 |
Product of Tamagawa factors cp |
deg |
406560 |
Modular degree for the optimal curve |
Δ |
-945178024570730496 = -1 · 211 · 311 · 7 · 13 · 315 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 1 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-553307,-165222831] |
[a1,a2,a3,a4,a6] |
Generators |
[1678:59425:1] |
Generators of the group modulo torsion |
j |
-18733643655190651221553/945178024570730496 |
j-invariant |
L |
7.7732778900113 |
L(r)(E,1)/r! |
Ω |
0.087267672471099 |
Real period |
R |
0.14722969964491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50778l1 118482cf1 |
Quadratic twists by: -3 -7 |