Atkin-Lehner |
2- 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
26508d |
Isogeny class |
Conductor |
26508 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
79736064 = 28 · 3 · 473 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 -3 0 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-125,-369] |
[a1,a2,a3,a4,a6] |
j |
8192/3 |
j-invariant |
L |
2.9413483395386 |
L(r)(E,1)/r! |
Ω |
1.4706741697694 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106032q1 79524g1 26508e1 |
Quadratic twists by: -4 -3 -47 |