Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550ey |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
4125167273430000000 = 27 · 316 · 57 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5333855,-4739095353] |
[a1,a2,a3,a4,a6] |
Generators |
[-1345:1338:1] |
Generators of the group modulo torsion |
j |
1473328864410526369/362154602880 |
j-invariant |
L |
11.031687468443 |
L(r)(E,1)/r! |
Ω |
0.099344920342311 |
Real period |
R |
1.9829339889781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994936 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38850l2 23310q2 |
Quadratic twists by: -3 5 |