Atkin-Lehner |
2- 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
46350bx |
Isogeny class |
Conductor |
46350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1759851562500 = -1 · 22 · 37 · 59 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 -4 0 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-230,63897] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-255:1] |
Generators of the group modulo torsion |
j |
-117649/154500 |
j-invariant |
L |
10.693939472977 |
L(r)(E,1)/r! |
Ω |
0.67522128002778 |
Real period |
R |
0.98985508429829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999872 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15450f1 9270m1 |
Quadratic twists by: -3 5 |