Atkin-Lehner |
3- 5+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
126825r |
Isogeny class |
Conductor |
126825 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
6935040 |
Modular degree for the optimal curve |
Δ |
-2.2659611551201E+21 |
Discriminant |
Eigenvalues |
-1 3- 5+ -3 3 -1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3659963,3536424042] |
[a1,a2,a3,a4,a6] |
Generators |
[1237:29419:1] |
Generators of the group modulo torsion |
j |
-347003438601934067689/145021513927685625 |
j-invariant |
L |
4.3397641551564 |
L(r)(E,1)/r! |
Ω |
0.13671841250391 |
Real period |
R |
0.45346218795929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051552 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25365a1 |
Quadratic twists by: 5 |