Atkin-Lehner |
3- 7+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
87381a |
Isogeny class |
Conductor |
87381 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-325064922147 = -1 · 314 · 72 · 19 · 73 |
Discriminant |
Eigenvalues |
0 3- 2 7+ 0 7 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1716,-1967] |
[a1,a2,a3,a4,a6] |
j |
766563319808/445905243 |
j-invariant |
L |
2.2819228924083 |
L(r)(E,1)/r! |
Ω |
0.5704807086262 |
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 |
29127a1 |
Quadratic twists by: -3 |