Atkin-Lehner |
2+ 3- 5+ 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32190j |
Isogeny class |
Conductor |
32190 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
9318400 |
Modular degree for the optimal curve |
Δ |
-1.2407491031538E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 2 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,34169311,151035317012] |
[a1,a2,a3,a4,a6] |
Generators |
[24416:3929979:1] |
Generators of the group modulo torsion |
j |
4411968421524303505871663351/12407491031537520000000000 |
j-invariant |
L |
4.9958910600869 |
L(r)(E,1)/r! |
Ω |
0.050020086431327 |
Real period |
R |
1.4268242495931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96570v1 |
Quadratic twists by: -3 |