Atkin-Lehner |
2- 3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144ch |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-77323280449536 = -1 · 217 · 32 · 116 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11- 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,991,-423231] |
[a1,a2,a3,a4,a6] |
Generators |
[104:891:1] |
Generators of the group modulo torsion |
j |
820344814/589929813 |
j-invariant |
L |
4.2976406662559 |
L(r)(E,1)/r! |
Ω |
0.28535772847986 |
Real period |
R |
2.510089522052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001147 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144bb2 19536k2 |
Quadratic twists by: -4 8 |