Atkin-Lehner |
2- 3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
116886bw |
Isogeny class |
Conductor |
116886 |
Conductor |
∏ cp |
2304 |
Product of Tamagawa factors cp |
deg |
3391488 |
Modular degree for the optimal curve |
Δ |
-888435761760239616 = -1 · 216 · 36 · 74 · 114 · 232 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- -3 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-428887,117199721] |
[a1,a2,a3,a4,a6] |
Generators |
[1022:26813:1] [-298:-14635:1] |
Generators of the group modulo torsion |
j |
-595911384446123713/60681357950976 |
j-invariant |
L |
17.78750645204 |
L(r)(E,1)/r! |
Ω |
0.27347098269413 |
Real period |
R |
0.028230680352509 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116886q1 |
Quadratic twists by: -11 |