Atkin-Lehner |
3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
106575cp |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-1209064066875 = -1 · 34 · 54 · 77 · 29 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 0 -2 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-8983,328969] |
[a1,a2,a3,a4,a6] |
Generators |
[-806:3761:8] [-61:808:1] |
Generators of the group modulo torsion |
j |
-1090355200/16443 |
j-invariant |
L |
11.849752581927 |
L(r)(E,1)/r! |
Ω |
0.86658519286103 |
Real period |
R |
0.28487660241554 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000444 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106575d1 15225g1 |
Quadratic twists by: 5 -7 |