Atkin-Lehner |
2+ 7+ 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
14518a |
Isogeny class |
Conductor |
14518 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14720 |
Modular degree for the optimal curve |
Δ |
278861744 = 24 · 75 · 17 · 61 |
Discriminant |
Eigenvalues |
2+ -2 -3 7+ -2 6 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3265,-72060] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:18:1] |
Generators of the group modulo torsion |
j |
3847530273220873/278861744 |
j-invariant |
L |
1.4874850398959 |
L(r)(E,1)/r! |
Ω |
0.63160648759602 |
Real period |
R |
1.1775409761523 |
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 |
116144s1 101626m1 |
Quadratic twists by: -4 -7 |