Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
38304bq |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
7427681856 = 26 · 38 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1209,-15640] |
[a1,a2,a3,a4,a6] |
Generators |
[152:1820:1] |
Generators of the group modulo torsion |
j |
4188852928/159201 |
j-invariant |
L |
6.7751044385895 |
L(r)(E,1)/r! |
Ω |
0.81153648518546 |
Real period |
R |
4.1742451277722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38304bi1 76608fc2 12768g1 |
Quadratic twists by: -4 8 -3 |