Atkin-Lehner |
3- 19- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
109383l |
Isogeny class |
Conductor |
109383 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
197444646812493 = 37 · 197 · 101 |
Discriminant |
Eigenvalues |
0 3- 2 -2 3 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-27917,1653938] |
[a1,a2,a3,a4,a6] |
Generators |
[-146:1624:1] |
Generators of the group modulo torsion |
j |
51147440128/4196853 |
j-invariant |
L |
8.0800272428074 |
L(r)(E,1)/r! |
Ω |
0.55210939453665 |
Real period |
R |
1.0453450101901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041579 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5757b1 |
Quadratic twists by: -19 |