Atkin-Lehner |
2- 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
84084t |
Isogeny class |
Conductor |
84084 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
158400 |
Modular degree for the optimal curve |
Δ |
398867925456 = 24 · 35 · 72 · 115 · 13 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11+ 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21009,1164708] |
[a1,a2,a3,a4,a6] |
j |
1308110598258688/508760109 |
j-invariant |
L |
4.6576929700541 |
L(r)(E,1)/r! |
Ω |
0.93153861150554 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84084c1 |
Quadratic twists by: -7 |