Atkin-Lehner |
2- 3- 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
107640bf |
Isogeny class |
Conductor |
107640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
458752 |
Modular degree for the optimal curve |
Δ |
-11898496321920000 = -1 · 210 · 314 · 54 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17853,-5167186] |
[a1,a2,a3,a4,a6] |
Generators |
[163:1440:1] |
Generators of the group modulo torsion |
j |
843004401404/15939129375 |
j-invariant |
L |
7.341320034851 |
L(r)(E,1)/r! |
Ω |
0.19549993030108 |
Real period |
R |
2.3469701585838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35880a1 |
Quadratic twists by: -3 |