Atkin-Lehner |
2+ 3- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
111384p |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1081344 |
Modular degree for the optimal curve |
Δ |
870245879473152 = 210 · 36 · 74 · 134 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 6 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-126507,17260630] |
[a1,a2,a3,a4,a6] |
Generators |
[15:3920:1] |
Generators of the group modulo torsion |
j |
299943806051236/1165774337 |
j-invariant |
L |
5.4585325761588 |
L(r)(E,1)/r! |
Ω |
0.50192474711236 |
Real period |
R |
2.7188002867173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999829998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12376i1 |
Quadratic twists by: -3 |