Atkin-Lehner |
3- 5+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
75525j |
Isogeny class |
Conductor |
75525 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
2287813646925 = 314 · 52 · 192 · 53 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 -3 -6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3303,-7756] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:256:1] |
Generators of the group modulo torsion |
j |
159456013680640/91512545877 |
j-invariant |
L |
3.8942685969102 |
L(r)(E,1)/r! |
Ω |
0.68379219516913 |
Real period |
R |
0.20339662009416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981349 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75525f1 |
Quadratic twists by: 5 |