Atkin-Lehner |
3+ 5+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75075j |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-48287536171875 = -1 · 36 · 57 · 72 · 113 · 13 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 11- 13+ 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-12033,612218] |
[a1,a2,a3,a4,a6] |
Generators |
[126:-1040:1] [-774:7421:8] |
Generators of the group modulo torsion |
j |
-12332795428864/3090402315 |
j-invariant |
L |
7.5032627391356 |
L(r)(E,1)/r! |
Ω |
0.60533643991314 |
Real period |
R |
0.25823321284579 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15015n1 |
Quadratic twists by: 5 |