Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50700v |
Isogeny class |
Conductor |
50700 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-4.09819132827E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-529533,341676063] |
[a1,a2,a3,a4,a6] |
Generators |
[693:17550:1] |
Generators of the group modulo torsion |
j |
-143737544704/358722675 |
j-invariant |
L |
7.7010911427456 |
L(r)(E,1)/r! |
Ω |
0.18024175134925 |
Real period |
R |
0.15824613095646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10140a1 50700x1 |
Quadratic twists by: 5 13 |