Atkin-Lehner |
3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105393q |
Isogeny class |
Conductor |
105393 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
624960 |
Modular degree for the optimal curve |
Δ |
-108266600324403 = -1 · 35 · 194 · 434 |
Discriminant |
Eigenvalues |
2 3- -2 -5 2 -3 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4314,510923] |
[a1,a2,a3,a4,a6] |
Generators |
[714:-7357:8] |
Generators of the group modulo torsion |
j |
-2597711872/31668003 |
j-invariant |
L |
10.718614123872 |
L(r)(E,1)/r! |
Ω |
0.50475393339728 |
Real period |
R |
0.35392209250935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023561 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105393e1 |
Quadratic twists by: -43 |