Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720bl |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-2834497600 = -1 · 26 · 52 · 116 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 11- -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,-2550] |
[a1,a2,a3,a4,a6] |
Generators |
[1261600974:112918511035:157464] |
Generators of the group modulo torsion |
j |
-64/25 |
j-invariant |
L |
9.3547623777228 |
L(r)(E,1)/r! |
Ω |
0.64206514084312 |
Real period |
R |
14.569802630055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38720bp1 19360u2 320d1 |
Quadratic twists by: -4 8 -11 |