Atkin-Lehner |
2- 3- 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
66780f |
Isogeny class |
Conductor |
66780 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-18636315468750000 = -1 · 24 · 38 · 510 · 73 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,26412,-6356887] |
[a1,a2,a3,a4,a6] |
Generators |
[148:891:1] |
Generators of the group modulo torsion |
j |
174694835830784/1597763671875 |
j-invariant |
L |
4.1203379126066 |
L(r)(E,1)/r! |
Ω |
0.19140542648182 |
Real period |
R |
3.5877926666575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991922 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22260f1 |
Quadratic twists by: -3 |