Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470bg |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-1724814000 = -1 · 24 · 36 · 53 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 13+ -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,300,-64] |
[a1,a2,a3,a4,a6] |
j |
24191271/14000 |
j-invariant |
L |
1.7835627797536 |
L(r)(E,1)/r! |
Ω |
0.89178104920466 |
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 |
11830y1 106470gd1 |
Quadratic twists by: -3 13 |