Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520bl |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
164994511680000000 = 212 · 36 · 57 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3739908,-2783740768] |
[a1,a2,a3,a4,a6] |
Generators |
[4032738419:2321672279229:12167] |
Generators of the group modulo torsion |
j |
1937398648791307456/55256328125 |
j-invariant |
L |
6.6708100347464 |
L(r)(E,1)/r! |
Ω |
0.10856380796539 |
Real period |
R |
15.361496068344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967731 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520bt2 41760bg1 9280f2 |
Quadratic twists by: -4 8 -3 |