Atkin-Lehner |
2+ 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
87840w |
Isogeny class |
Conductor |
87840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
5763182400 = 26 · 310 · 52 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -2 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-597,4264] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:90:1] [3:50:1] |
Generators of the group modulo torsion |
j |
504358336/123525 |
j-invariant |
L |
10.14190396196 |
L(r)(E,1)/r! |
Ω |
1.2665416213261 |
Real period |
R |
2.0018891979973 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997761 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87840v1 29280y1 |
Quadratic twists by: -4 -3 |