Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240fm |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
20062371840000 = 218 · 3 · 54 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19041,-981759] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:124:1] |
Generators of the group modulo torsion |
j |
2912566550041/76531875 |
j-invariant |
L |
5.7758011833194 |
L(r)(E,1)/r! |
Ω |
0.40707234648625 |
Real period |
R |
3.5471588764392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059824 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240dz4 28560dx4 |
Quadratic twists by: -4 8 |