Atkin-Lehner |
2+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75088a |
Isogeny class |
Conductor |
75088 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-1426672 = -1 · 24 · 13 · 193 |
Discriminant |
Eigenvalues |
2+ 0 0 -2 -6 13+ 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-95,361] |
[a1,a2,a3,a4,a6] |
Generators |
[0:19:1] |
Generators of the group modulo torsion |
j |
-864000/13 |
j-invariant |
L |
3.9537947645624 |
L(r)(E,1)/r! |
Ω |
2.7028884670894 |
Real period |
R |
0.73140175987714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003543 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37544h1 75088f1 |
Quadratic twists by: -4 -19 |