Atkin-Lehner |
2- 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
110466z |
Isogeny class |
Conductor |
110466 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-1942699705140658176 = -1 · 214 · 33 · 173 · 197 |
Discriminant |
Eigenvalues |
2- 3+ 1 -3 -2 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,310753,7081607] |
[a1,a2,a3,a4,a6] |
Generators |
[195:8566:1] |
Generators of the group modulo torsion |
j |
2612676520917/1529397248 |
j-invariant |
L |
9.246480346195 |
L(r)(E,1)/r! |
Ω |
0.15914592893991 |
Real period |
R |
1.0375114237877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069243 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110466c1 5814a1 |
Quadratic twists by: -3 -19 |