Atkin-Lehner |
3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7245r |
Isogeny class |
Conductor |
7245 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
112000 |
Modular degree for the optimal curve |
Δ |
-2.3474657837072E+19 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 3 0 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-887862,-397527953] |
[a1,a2,a3,a4,a6] |
j |
-106177523183250079744/32201176731237675 |
j-invariant |
L |
2.1440123254844 |
L(r)(E,1)/r! |
Ω |
0.0765718687673 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115920el1 2415b1 36225bg1 50715l1 |
Quadratic twists by: -4 -3 5 -7 |