Atkin-Lehner |
2- 3+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
106782o |
Isogeny class |
Conductor |
106782 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
155532467844 = 22 · 310 · 13 · 373 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 -2 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6004,-180559] |
[a1,a2,a3,a4,a6] |
Generators |
[-346:353:8] [1198:11547:8] |
Generators of the group modulo torsion |
j |
472547110069/3070548 |
j-invariant |
L |
12.371056697083 |
L(r)(E,1)/r! |
Ω |
0.54257406049354 |
Real period |
R |
11.400339231873 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000808 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106782c1 |
Quadratic twists by: 37 |