Atkin-Lehner |
2+ 3- 5- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
64890bl |
Isogeny class |
Conductor |
64890 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
2317935690000 = 24 · 38 · 54 · 73 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5724,151168] |
[a1,a2,a3,a4,a6] |
Generators |
[92:-676:1] [-48:584:1] |
Generators of the group modulo torsion |
j |
28453633725889/3179610000 |
j-invariant |
L |
8.1312590966079 |
L(r)(E,1)/r! |
Ω |
0.7927470511445 |
Real period |
R |
0.42737776428182 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999857 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21630l1 |
Quadratic twists by: -3 |