Atkin-Lehner |
2- 7- 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
106288q |
Isogeny class |
Conductor |
106288 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
526848 |
Modular degree for the optimal curve |
Δ |
-17059180355596288 = -1 · 212 · 77 · 13 · 733 |
Discriminant |
Eigenvalues |
2- 0 0 7- 3 13+ -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-101555,13951922] |
[a1,a2,a3,a4,a6] |
Generators |
[6843:57232:27] [199:1274:1] |
Generators of the group modulo torsion |
j |
-28279237523279625/4164838954003 |
j-invariant |
L |
11.935674180884 |
L(r)(E,1)/r! |
Ω |
0.37676324159192 |
Real period |
R |
0.37713700166293 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6643a1 |
Quadratic twists by: -4 |