Atkin-Lehner |
3- 5- 23+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
106605f |
Isogeny class |
Conductor |
106605 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
3827712 |
Modular degree for the optimal curve |
Δ |
6.915804175415E+19 |
Discriminant |
Eigenvalues |
1 3- 5- 4 0 6 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2679939,1641217648] |
[a1,a2,a3,a4,a6] |
Generators |
[2357264:-1922032:2197] |
Generators of the group modulo torsion |
j |
2919920327586396199729/94866998291015625 |
j-invariant |
L |
10.932454018964 |
L(r)(E,1)/r! |
Ω |
0.19400261788769 |
Real period |
R |
8.0502992985162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35535a1 |
Quadratic twists by: -3 |