Atkin-Lehner |
2- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
53290x |
Isogeny class |
Conductor |
53290 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
34983936 |
Modular degree for the optimal curve |
Δ |
-1.3752402655051E+28 |
Discriminant |
Eigenvalues |
2- 1 5- 2 3 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2556433320,-50069899530688] |
[a1,a2,a3,a4,a6] |
Generators |
[7629814:21070883718:1] |
Generators of the group modulo torsion |
j |
-429930760729969/3200000000 |
j-invariant |
L |
13.456833869691 |
L(r)(E,1)/r! |
Ω |
0.010611283074616 |
Real period |
R |
12.193872546099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53290t1 |
Quadratic twists by: 73 |