Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
106722fk |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
-1.8052303795952E+19 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11+ 2 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,158971,-202999233] |
[a1,a2,a3,a4,a6] |
Generators |
[303670:59014773:8] |
Generators of the group modulo torsion |
j |
107653/4374 |
j-invariant |
L |
7.4763687425554 |
L(r)(E,1)/r! |
Ω |
0.10478641377321 |
Real period |
R |
8.9185807501441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000696 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35574c1 106722gb1 106722bl1 |
Quadratic twists by: -3 -7 -11 |