Atkin-Lehner |
2+ 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600g |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-2782108944000000 = -1 · 210 · 37 · 56 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 -1 -1 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10008,-2563488] |
[a1,a2,a3,a4,a6] |
Generators |
[244212974:1929434198:1295029] |
Generators of the group modulo torsion |
j |
-6929294404/173881809 |
j-invariant |
L |
5.6378337945898 |
L(r)(E,1)/r! |
Ω |
0.1964674668557 |
Real period |
R |
14.348008565553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999888 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25800r1 2064b1 |
Quadratic twists by: -4 5 |