Atkin-Lehner |
2+ 7- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
110768j |
Isogeny class |
Conductor |
110768 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1712640 |
Modular degree for the optimal curve |
Δ |
-4397622061138310144 = -1 · 210 · 74 · 233 · 435 |
Discriminant |
Eigenvalues |
2+ -1 2 7- 5 -1 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,395208,-32301920] |
[a1,a2,a3,a4,a6] |
Generators |
[102:3010:1] |
Generators of the group modulo torsion |
j |
6666530006261597468/4294552794080381 |
j-invariant |
L |
7.4449267216016 |
L(r)(E,1)/r! |
Ω |
0.14047945582258 |
Real period |
R |
1.3249137827371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044557 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55384a1 |
Quadratic twists by: -4 |