Atkin-Lehner |
3- 7- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
125097f |
Isogeny class |
Conductor |
125097 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3849216 |
Modular degree for the optimal curve |
Δ |
-1.1516110809846E+19 |
Discriminant |
Eigenvalues |
0 3- 4 7- -1 -6 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-120311,-164100037] |
[a1,a2,a3,a4,a6] |
Generators |
[357418140:13948695197:216000] |
Generators of the group modulo torsion |
j |
-1637024169558016/97885326775803 |
j-invariant |
L |
9.2151444854854 |
L(r)(E,1)/r! |
Ω |
0.099589822857775 |
Real period |
R |
11.566373172826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17871b1 |
Quadratic twists by: -7 |