Atkin-Lehner |
2- 3- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
89352o |
Isogeny class |
Conductor |
89352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1149664306176 = -1 · 210 · 36 · 172 · 732 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3531,95830] |
[a1,a2,a3,a4,a6] |
Generators |
[3:292:1] [51:220:1] |
Generators of the group modulo torsion |
j |
-6522128932/1540081 |
j-invariant |
L |
9.9071574728607 |
L(r)(E,1)/r! |
Ω |
0.8279953805296 |
Real period |
R |
2.9913081961949 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000103 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9928b2 |
Quadratic twists by: -3 |