Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722bx |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
56448000 |
Modular degree for the optimal curve |
Δ |
-8.3913173617662E+25 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 11- -6 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-259842501,1671401614581] |
[a1,a2,a3,a4,a6] |
Generators |
[7681:-362545:1] |
Generators of the group modulo torsion |
j |
-260607143968297/11270993184 |
j-invariant |
L |
1.7202877178474 |
L(r)(E,1)/r! |
Ω |
0.060172692461475 |
Real period |
R |
1.1912156658234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000138874 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35574cn1 106722dp1 9702bq1 |
Quadratic twists by: -3 -7 -11 |