Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
38304br |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-8044179450048 = -1 · 26 · 39 · 72 · 194 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -2 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7257,274300] |
[a1,a2,a3,a4,a6] |
Generators |
[33:266:1] |
Generators of the group modulo torsion |
j |
-905915267776/172414683 |
j-invariant |
L |
4.3041159355725 |
L(r)(E,1)/r! |
Ω |
0.70841774741211 |
Real period |
R |
0.75945936407168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38304m1 76608ci2 12768k1 |
Quadratic twists by: -4 8 -3 |