Atkin-Lehner |
2- 3- 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
114576bq |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-15809654784 = -1 · 212 · 3 · 73 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11+ -3 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-869,11283] |
[a1,a2,a3,a4,a6] |
Generators |
[642:1837:27] |
Generators of the group modulo torsion |
j |
-17738739712/3859779 |
j-invariant |
L |
10.335118283163 |
L(r)(E,1)/r! |
Ω |
1.186298761332 |
Real period |
R |
4.3560351754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016809 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7161f1 |
Quadratic twists by: -4 |