Atkin-Lehner |
2+ 3+ 5+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
88350a |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6738598068750000 = 24 · 310 · 58 · 19 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-60150,4054500] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:3090:1] |
Generators of the group modulo torsion |
j |
1540358688675169/431270276400 |
j-invariant |
L |
4.4109443594775 |
L(r)(E,1)/r! |
Ω |
0.39243525579972 |
Real period |
R |
1.4049911057547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017257 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17670s2 |
Quadratic twists by: 5 |