Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240s |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
203489280 = 216 · 33 · 5 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-492,4144] |
[a1,a2,a3,a4,a6] |
Generators |
[20:48:1] |
Generators of the group modulo torsion |
j |
7443468/115 |
j-invariant |
L |
5.8074333240498 |
L(r)(E,1)/r! |
Ω |
1.7870539479455 |
Real period |
R |
1.624862341309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000416 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240dt1 8280b1 66240a1 |
Quadratic twists by: -4 8 -3 |