Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840cn |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
2166704640000 = 212 · 39 · 54 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13332,-588256] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:65:1] |
Generators of the group modulo torsion |
j |
87765160384/725625 |
j-invariant |
L |
9.0799797174223 |
L(r)(E,1)/r! |
Ω |
0.44452102239298 |
Real period |
R |
2.5533043626405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999990453 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840dd1 61920p1 41280c1 |
Quadratic twists by: -4 8 -3 |