Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
26400bh |
Isogeny class |
Conductor |
26400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
2205225000000 = 26 · 36 · 58 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5158,-121688] |
[a1,a2,a3,a4,a6] |
Generators |
[13447:1559250:1] |
Generators of the group modulo torsion |
j |
15179306176/2205225 |
j-invariant |
L |
4.8331075420879 |
L(r)(E,1)/r! |
Ω |
0.56880542378101 |
Real period |
R |
4.2484717444859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26400bs1 52800fw2 79200u1 5280g1 |
Quadratic twists by: -4 8 -3 5 |