Atkin-Lehner |
2+ 3- 13- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75582r |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
5376000 |
Modular degree for the optimal curve |
Δ |
-1.4487720344095E+21 |
Discriminant |
Eigenvalues |
2+ 3- -4 -1 3 13- 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1300401,1739748559] |
[a1,a2,a3,a4,a6] |
Generators |
[-745:19268:1] |
Generators of the group modulo torsion |
j |
333601412130431492111/1987341610986995562 |
j-invariant |
L |
3.2020116106905 |
L(r)(E,1)/r! |
Ω |
0.10953813469725 |
Real period |
R |
0.24359945669036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996238 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25194t1 |
Quadratic twists by: -3 |