Atkin-Lehner |
2+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20128c |
Isogeny class |
Conductor |
20128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
82085493035008 = 212 · 172 · 375 |
Discriminant |
Eigenvalues |
2+ -1 4 -3 5 0 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31421,2109493] |
[a1,a2,a3,a4,a6] |
j |
837601784671744/20040403573 |
j-invariant |
L |
2.4284665474345 |
L(r)(E,1)/r! |
Ω |
0.60711663685863 |
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 |
20128h1 40256l1 |
Quadratic twists by: -4 8 |