Atkin-Lehner |
2+ 11- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
107822l |
Isogeny class |
Conductor |
107822 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
14430014416683008 = 216 · 112 · 137 · 29 |
Discriminant |
Eigenvalues |
2+ 0 2 -4 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-175031,27630045] |
[a1,a2,a3,a4,a6] |
Generators |
[-367:6690:1] |
Generators of the group modulo torsion |
j |
122859831710097/2989555712 |
j-invariant |
L |
3.2692959839453 |
L(r)(E,1)/r! |
Ω |
0.39455466100727 |
Real period |
R |
2.0715101855999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999624857 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8294e1 |
Quadratic twists by: 13 |