Atkin-Lehner |
3+ 5+ 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
84075f |
Isogeny class |
Conductor |
84075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
-32841796875 = -1 · 3 · 510 · 19 · 59 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -3 5 -5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3763,-90844] |
[a1,a2,a3,a4,a6] |
j |
-603439225/3363 |
j-invariant |
L |
0.30467772155789 |
L(r)(E,1)/r! |
Ω |
0.30467771659221 |
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 |
84075q1 |
Quadratic twists by: 5 |