Atkin-Lehner |
2- 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
64320cr |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
1006939620664934400 = 238 · 37 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4906145,4180805343] |
[a1,a2,a3,a4,a6] |
j |
49820148452546463529/3841169817600 |
j-invariant |
L |
3.7019285641488 |
L(r)(E,1)/r! |
Ω |
0.26442346884805 |
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 |
64320r1 16080r1 |
Quadratic twists by: -4 8 |