Atkin-Lehner |
2+ 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
106722bl |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-10190054870226 = -1 · 2 · 313 · 74 · 113 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 11+ -2 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1314,152158] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:143:1] [-306:1847:8] |
Generators of the group modulo torsion |
j |
107653/4374 |
j-invariant |
L |
7.2027742518352 |
L(r)(E,1)/r! |
Ω |
0.54786656473773 |
Real period |
R |
0.54778957724326 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999998103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35574bp1 106722cg1 106722fk1 |
Quadratic twists by: -3 -7 -11 |