Atkin-Lehner |
2- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
26320m |
Isogeny class |
Conductor |
26320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
165079040000 = 214 · 54 · 73 · 47 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5640,159988] |
[a1,a2,a3,a4,a6] |
Generators |
[36:70:1] |
Generators of the group modulo torsion |
j |
4844824797961/40302500 |
j-invariant |
L |
3.7083627834972 |
L(r)(E,1)/r! |
Ω |
1.0255459420255 |
Real period |
R |
0.30133241163995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3290d1 105280y1 |
Quadratic twists by: -4 8 |