Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722dj |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31933440 |
Modular degree for the optimal curve |
Δ |
-1.9142681831223E+25 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 5 -8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-56092416,-265425177088] |
[a1,a2,a3,a4,a6] |
j |
-8773917273/8605184 |
j-invariant |
L |
1.3263901254336 |
L(r)(E,1)/r! |
Ω |
0.026527807297258 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11858bp1 15246u1 106722ha1 |
Quadratic twists by: -3 -7 -11 |