Atkin-Lehner |
2+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
14278d |
Isogeny class |
Conductor |
14278 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-212184369635262464 = -1 · 224 · 118 · 59 |
Discriminant |
Eigenvalues |
2+ 1 -1 3 11- 4 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-133829,-29101712] |
[a1,a2,a3,a4,a6] |
Generators |
[535480487:-6929582242:1030301] |
Generators of the group modulo torsion |
j |
-149628263143969/119772545024 |
j-invariant |
L |
4.4882929239045 |
L(r)(E,1)/r! |
Ω |
0.12067192291435 |
Real period |
R |
9.2985443827934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114224j1 128502br1 1298b1 |
Quadratic twists by: -4 -3 -11 |