Atkin-Lehner |
3- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
18975n |
Isogeny class |
Conductor |
18975 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
196992 |
Modular degree for the optimal curve |
Δ |
-22972824308671875 = -1 · 319 · 57 · 11 · 23 |
Discriminant |
Eigenvalues |
2 3- 5+ 0 11+ -3 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,32242,6954269] |
[a1,a2,a3,a4,a6] |
Generators |
[-406:18221:8] |
Generators of the group modulo torsion |
j |
237222641291264/1470260755755 |
j-invariant |
L |
11.807984730942 |
L(r)(E,1)/r! |
Ω |
0.27549482845679 |
Real period |
R |
0.56396056874927 |
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 |
56925x1 3795e1 |
Quadratic twists by: -3 5 |