Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25872da |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-3913476336 = -1 · 24 · 33 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- 1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,278,2519] |
[a1,a2,a3,a4,a6] |
Generators |
[23:147:1] |
Generators of the group modulo torsion |
j |
1257728/2079 |
j-invariant |
L |
5.3060078441266 |
L(r)(E,1)/r! |
Ω |
0.95235689085743 |
Real period |
R |
0.92857483279359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6468e1 103488fo1 77616fl1 3696o1 |
Quadratic twists by: -4 8 -3 -7 |