Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952p |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-932762142321408 = -1 · 28 · 37 · 78 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 4 5 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20580,-931588] |
[a1,a2,a3,a4,a6] |
Generators |
[49:441:1] |
Generators of the group modulo torsion |
j |
896000/867 |
j-invariant |
L |
7.4263443723258 |
L(r)(E,1)/r! |
Ω |
0.270926274695 |
Real period |
R |
1.1421225698711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59976bd1 39984a1 119952u1 |
Quadratic twists by: -4 -3 -7 |