Atkin-Lehner |
2+ 3- 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
19998f |
Isogeny class |
Conductor |
19998 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-698545418472 = -1 · 23 · 310 · 114 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 2 3 11+ 0 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4851,-134915] |
[a1,a2,a3,a4,a6] |
Generators |
[2453:120197:1] |
Generators of the group modulo torsion |
j |
-17319700013617/958224168 |
j-invariant |
L |
4.9322436843994 |
L(r)(E,1)/r! |
Ω |
0.28511093320952 |
Real period |
R |
4.3248461474949 |
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 |
6666f1 |
Quadratic twists by: -3 |