Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
27552ba |
Isogeny class |
Conductor |
27552 |
Conductor |
∏ cp |
306 |
Product of Tamagawa factors cp |
deg |
5170176 |
Modular degree for the optimal curve |
Δ |
-7.6895650889408E+23 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 2 -7 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-237925185,1413116572527] |
[a1,a2,a3,a4,a6] |
Generators |
[-1878:1361367:1] |
Generators of the group modulo torsion |
j |
-363651189931905378317079616/187733522679218010621 |
j-invariant |
L |
7.2459703798151 |
L(r)(E,1)/r! |
Ω |
0.088567970434841 |
Real period |
R |
0.26736123282313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27552o1 55104ch1 82656s1 |
Quadratic twists by: -4 8 -3 |