Atkin-Lehner |
2+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
25280c |
Isogeny class |
Conductor |
25280 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5440 |
Modular degree for the optimal curve |
Δ |
-15800000 = -1 · 26 · 55 · 79 |
Discriminant |
Eigenvalues |
2+ 1 5+ 3 3 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-201,1049] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:47:1] |
Generators of the group modulo torsion |
j |
-14102327296/246875 |
j-invariant |
L |
6.4912222038795 |
L(r)(E,1)/r! |
Ω |
2.2096926490383 |
Real period |
R |
2.9376131593254 |
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 |
25280s1 395c1 126400j1 |
Quadratic twists by: -4 8 5 |