Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240kd |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-4457073600000000 = -1 · 212 · 34 · 58 · 7 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 0 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,30855,2452743] |
[a1,a2,a3,a4,a6] |
Generators |
[306:-6375:1] |
Generators of the group modulo torsion |
j |
793097061902144/1088152734375 |
j-invariant |
L |
9.8456894109951 |
L(r)(E,1)/r! |
Ω |
0.29437682174986 |
Real period |
R |
0.34839449494691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054627 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240hq1 57120a1 |
Quadratic twists by: -4 8 |