Atkin-Lehner |
2- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
53824v |
Isogeny class |
Conductor |
53824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-1130487893786624 = -1 · 216 · 297 |
Discriminant |
Eigenvalues |
2- 1 3 -2 3 5 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,25791,283199] |
[a1,a2,a3,a4,a6] |
j |
48668/29 |
j-invariant |
L |
4.7775548120561 |
L(r)(E,1)/r! |
Ω |
0.29859717583179 |
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 |
53824e1 13456c1 1856m1 |
Quadratic twists by: -4 8 29 |