Atkin-Lehner |
2+ 3- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
94656x |
Isogeny class |
Conductor |
94656 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-596323855859904 = -1 · 26 · 33 · 177 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 -1 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24701,1892613] |
[a1,a2,a3,a4,a6] |
Generators |
[124:-867:1] |
Generators of the group modulo torsion |
j |
-26043834513719296/9317560247811 |
j-invariant |
L |
6.3764656744181 |
L(r)(E,1)/r! |
Ω |
0.48561433149675 |
Real period |
R |
0.31263618323396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011383 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94656bj1 1479b1 |
Quadratic twists by: -4 8 |