Atkin-Lehner |
2- 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
108192bo |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-4103431729946873856 = -1 · 212 · 33 · 78 · 235 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 4 -5 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,172415,-93427153] |
[a1,a2,a3,a4,a6] |
Generators |
[1682:70413:1] |
Generators of the group modulo torsion |
j |
24005019584/173781261 |
j-invariant |
L |
9.4361640684091 |
L(r)(E,1)/r! |
Ω |
0.12285860306983 |
Real period |
R |
4.2669485198726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049814 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108192ba1 108192bd1 |
Quadratic twists by: -4 -7 |