Atkin-Lehner |
2- 3- 23+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
87768i |
Isogeny class |
Conductor |
87768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-909978624 = -1 · 210 · 36 · 23 · 53 |
Discriminant |
Eigenvalues |
2- 3- 3 2 -4 1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1731,27758] |
[a1,a2,a3,a4,a6] |
Generators |
[22:18:1] |
Generators of the group modulo torsion |
j |
-768400132/1219 |
j-invariant |
L |
9.0960438725055 |
L(r)(E,1)/r! |
Ω |
1.5730951000302 |
Real period |
R |
1.4455648411033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991678 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9752c1 |
Quadratic twists by: -3 |