Atkin-Lehner |
2+ 3- 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
119280k |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
28627200000 = 211 · 32 · 55 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -3 7 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2136,-37836] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:12:1] |
Generators of the group modulo torsion |
j |
526502951858/13978125 |
j-invariant |
L |
7.8410428533384 |
L(r)(E,1)/r! |
Ω |
0.70337355242364 |
Real period |
R |
1.3934705817425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003458 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59640c1 |
Quadratic twists by: -4 |