Atkin-Lehner |
2- 13- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
114608j |
Isogeny class |
Conductor |
114608 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
13456800 |
Modular degree for the optimal curve |
Δ |
-2.6064479143234E+24 |
Discriminant |
Eigenvalues |
2- -1 0 4 3 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25924093,92823278561] |
[a1,a2,a3,a4,a6] |
Generators |
[732953:627485170:1] |
Generators of the group modulo torsion |
j |
-7526524434375784901632000/10181437165325806565627 |
j-invariant |
L |
7.1026649064089 |
L(r)(E,1)/r! |
Ω |
0.073101301334906 |
Real period |
R |
3.2387316172425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004162 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28652e1 |
Quadratic twists by: -4 |