Atkin-Lehner |
2+ 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680ct |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
1149120 = 26 · 33 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23940,1417770] |
[a1,a2,a3,a4,a6] |
Generators |
[93:66:1] |
Generators of the group modulo torsion |
j |
23710150855722304/17955 |
j-invariant |
L |
9.0893402196452 |
L(r)(E,1)/r! |
Ω |
1.7048347193282 |
Real period |
R |
1.777169380394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000150404 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680bt1 63840b4 |
Quadratic twists by: -4 8 |