Atkin-Lehner |
2- 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
87840bj |
Isogeny class |
Conductor |
87840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29696 |
Modular degree for the optimal curve |
Δ |
-113840640 = -1 · 29 · 36 · 5 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 7 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,117,-162] |
[a1,a2,a3,a4,a6] |
j |
474552/305 |
j-invariant |
L |
4.2865915448823 |
L(r)(E,1)/r! |
Ω |
1.0716478851735 |
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 |
87840m1 9760e1 |
Quadratic twists by: -4 -3 |