Atkin-Lehner |
7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27797g |
Isogeny class |
Conductor |
27797 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6400 |
Modular degree for the optimal curve |
Δ |
3697001 = 72 · 11 · 193 |
Discriminant |
Eigenvalues |
-1 -2 2 7- 11- 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-207,-1160] |
[a1,a2,a3,a4,a6] |
Generators |
[17:9:1] |
Generators of the group modulo torsion |
j |
143055667/539 |
j-invariant |
L |
2.8466193260927 |
L(r)(E,1)/r! |
Ω |
1.2589093402188 |
Real period |
R |
2.2611789706779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27797f1 |
Quadratic twists by: -19 |