Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
26400bl |
Isogeny class |
Conductor |
26400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
285120000000 = 212 · 34 · 57 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7633,-252863] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:25:1] |
Generators of the group modulo torsion |
j |
768575296/4455 |
j-invariant |
L |
5.6118027086841 |
L(r)(E,1)/r! |
Ω |
0.51094316837094 |
Real period |
R |
1.3729028628019 |
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 |
26400by3 52800gl1 79200bd3 5280i2 |
Quadratic twists by: -4 8 -3 5 |