Atkin-Lehner |
2+ 3- 5- 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
119970u |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-10980368221500 = -1 · 22 · 312 · 53 · 312 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4014,-186080] |
[a1,a2,a3,a4,a6] |
Generators |
[86:272:1] [111:797:1] |
Generators of the group modulo torsion |
j |
-9812714120929/15062233500 |
j-invariant |
L |
9.7740351073499 |
L(r)(E,1)/r! |
Ω |
0.28447061563023 |
Real period |
R |
2.8632234078108 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001297 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39990k1 |
Quadratic twists by: -3 |