Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22080bq |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-97049735331840 = -1 · 224 · 37 · 5 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 2 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10655,-209665] |
[a1,a2,a3,a4,a6] |
j |
510273943271/370215360 |
j-invariant |
L |
4.7169399854919 |
L(r)(E,1)/r! |
Ω |
0.33692428467799 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22080cc1 690b1 66240bl1 110400r1 |
Quadratic twists by: -4 8 -3 5 |