Atkin-Lehner |
3+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18975a |
Isogeny class |
Conductor |
18975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
5870390625 = 33 · 57 · 112 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11+ -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-195688,33237656] |
[a1,a2,a3,a4,a6] |
Generators |
[880:22872:1] |
Generators of the group modulo torsion |
j |
53039132070930361/375705 |
j-invariant |
L |
2.3050413408115 |
L(r)(E,1)/r! |
Ω |
0.92749039880126 |
Real period |
R |
4.9704910019353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56925y1 3795j1 |
Quadratic twists by: -3 5 |