Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
38160z |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-15532646400000 = -1 · 216 · 33 · 55 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-267,189626] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-480:1] |
Generators of the group modulo torsion |
j |
-19034163/140450000 |
j-invariant |
L |
7.4990208080028 |
L(r)(E,1)/r! |
Ω |
0.55958339738256 |
Real period |
R |
0.67005390466195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4770w1 38160u1 |
Quadratic twists by: -4 -3 |