Atkin-Lehner |
2- 3+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
102672w |
Isogeny class |
Conductor |
102672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
641375379062784 = 216 · 33 · 233 · 313 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 -3 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23139,592226] |
[a1,a2,a3,a4,a6] |
j |
12388928834619/5799473552 |
j-invariant |
L |
1.8315314854832 |
L(r)(E,1)/r! |
Ω |
0.45788287830302 |
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 |
12834a1 102672z2 |
Quadratic twists by: -4 -3 |