Atkin-Lehner |
2- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
24400bd |
Isogeny class |
Conductor |
24400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
-1.814802071552E+20 |
Discriminant |
Eigenvalues |
2- 3 5- -2 3 0 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7535875,7988821250] |
[a1,a2,a3,a4,a6] |
Generators |
[372825:47628800:729] |
Generators of the group modulo torsion |
j |
-29580450758086905/113425129472 |
j-invariant |
L |
9.0511147597516 |
L(r)(E,1)/r! |
Ω |
0.18086466163505 |
Real period |
R |
2.0851490736056 |
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 |
3050e1 97600cz1 24400s1 |
Quadratic twists by: -4 8 5 |