Atkin-Lehner |
2- 3- 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
25398j |
Isogeny class |
Conductor |
25398 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
5.5027621961908E+19 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 4 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-951737,-18137127] |
[a1,a2,a3,a4,a6] |
Generators |
[3623:208140:1] |
Generators of the group modulo torsion |
j |
130781590942475990089/75483706394935296 |
j-invariant |
L |
8.0014133212654 |
L(r)(E,1)/r! |
Ω |
0.16678808420718 |
Real period |
R |
0.47973530958758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8466d1 |
Quadratic twists by: -3 |