Atkin-Lehner |
2- 3+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
107328by |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-28398913241088 = -1 · 214 · 3 · 132 · 434 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 2 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31985,-2205999] |
[a1,a2,a3,a4,a6] |
Generators |
[3266069:35428900:12167] |
Generators of the group modulo torsion |
j |
-220880011370704/1733332107 |
j-invariant |
L |
3.6442567511649 |
L(r)(E,1)/r! |
Ω |
0.17841376671185 |
Real period |
R |
10.212936114549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998583974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107328bk2 26832i2 |
Quadratic twists by: -4 8 |