Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97608o |
Isogeny class |
Conductor |
97608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1210046069901312 = -1 · 211 · 36 · 76 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34512,2993292] |
[a1,a2,a3,a4,a6] |
Generators |
[35345:496272:125] |
Generators of the group modulo torsion |
j |
-18868113794/5022081 |
j-invariant |
L |
6.4984659179368 |
L(r)(E,1)/r! |
Ω |
0.46199323182158 |
Real period |
R |
7.033074806965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977094 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1992a2 |
Quadratic twists by: -7 |