Atkin-Lehner |
2+ 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680cu |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
106496 |
Modular degree for the optimal curve |
Δ |
-105149970240 = -1 · 26 · 3 · 5 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-420,15810] |
[a1,a2,a3,a4,a6] |
Generators |
[202:1185:8] |
Generators of the group modulo torsion |
j |
-128329125184/1642968285 |
j-invariant |
L |
9.3359984597027 |
L(r)(E,1)/r! |
Ω |
0.89886658087815 |
Real period |
R |
5.1932059304978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999754145 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680bs1 63840bg2 |
Quadratic twists by: -4 8 |