Atkin-Lehner |
2- 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
30096bc |
Isogeny class |
Conductor |
30096 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-1872211968 = -1 · 212 · 37 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 11+ 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,-2320] |
[a1,a2,a3,a4,a6] |
j |
-262144/627 |
j-invariant |
L |
1.1967661194344 |
L(r)(E,1)/r! |
Ω |
0.59838305971791 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1881c1 120384dn1 10032m1 |
Quadratic twists by: -4 8 -3 |