Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
81225bf |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-7.2545024161459E+19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 2 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,120145,-409506978] |
[a1,a2,a3,a4,a6] |
Generators |
[16945502:-3775001385:343] |
Generators of the group modulo torsion |
j |
357911/135375 |
j-invariant |
L |
4.3731881813543 |
L(r)(E,1)/r! |
Ω |
0.091103383917146 |
Real period |
R |
12.000619494336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002767 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27075e1 16245k1 4275f1 |
Quadratic twists by: -3 5 -19 |