Atkin-Lehner |
2- 3- 37+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
55278f |
Isogeny class |
Conductor |
55278 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
22742016 |
Modular degree for the optimal curve |
Δ |
-3.1718384829429E+25 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 4 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-132082124,644078475983] |
[a1,a2,a3,a4,a6] |
Generators |
[36798:2908307:8] |
Generators of the group modulo torsion |
j |
-349565298261664962828385657/43509444210465011859456 |
j-invariant |
L |
9.6047196426775 |
L(r)(E,1)/r! |
Ω |
0.063894059135897 |
Real period |
R |
9.3951610803871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000097 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18426c1 |
Quadratic twists by: -3 |