Atkin-Lehner |
2+ 3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75240r |
Isogeny class |
Conductor |
75240 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
-4.0466963964242E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ 3 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1076067,-527509314] |
[a1,a2,a3,a4,a6] |
j |
-92296274330873538/27104608708045 |
j-invariant |
L |
1.8252377388778 |
L(r)(E,1)/r! |
Ω |
0.07300950928411 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8360o1 |
Quadratic twists by: -3 |