Atkin-Lehner |
2- 7- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
103376q |
Isogeny class |
Conductor |
103376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43392 |
Modular degree for the optimal curve |
Δ |
-11578112 = -1 · 28 · 72 · 13 · 71 |
Discriminant |
Eigenvalues |
2- -3 0 7- 4 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-160,796] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:35:1] [2:22:1] |
Generators of the group modulo torsion |
j |
-1769472000/45227 |
j-invariant |
L |
7.6595472303506 |
L(r)(E,1)/r! |
Ω |
2.2597575252455 |
Real period |
R |
0.84738596341981 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25844a1 |
Quadratic twists by: -4 |