Atkin-Lehner |
3- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
25773m |
Isogeny class |
Conductor |
25773 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
620021061 = 38 · 113 · 71 |
Discriminant |
Eigenvalues |
-2 3- -1 -1 11+ 1 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-216,182] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-50:1] [-12:34:1] |
Generators of the group modulo torsion |
j |
841232384/465831 |
j-invariant |
L |
4.7319878155663 |
L(r)(E,1)/r! |
Ω |
1.4096218488168 |
Real period |
R |
0.20980750172181 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77319m1 25773l1 |
Quadratic twists by: -3 -11 |