Atkin-Lehner |
2- 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
126412d |
Isogeny class |
Conductor |
126412 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-25719279872 = -1 · 28 · 112 · 132 · 173 |
Discriminant |
Eigenvalues |
2- -1 2 3 11+ 13+ 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1772,30328] |
[a1,a2,a3,a4,a6] |
Generators |
[26:34:1] |
Generators of the group modulo torsion |
j |
-14230929232/594473 |
j-invariant |
L |
7.5831581084774 |
L(r)(E,1)/r! |
Ω |
1.181477860586 |
Real period |
R |
0.35657592074444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000133031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126412h1 |
Quadratic twists by: 13 |