Atkin-Lehner |
2+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
24986a |
Isogeny class |
Conductor |
24986 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
63240 |
Modular degree for the optimal curve |
Δ |
-44350333946932 = -1 · 22 · 13 · 318 |
Discriminant |
Eigenvalues |
2+ 2 2 1 -1 13+ -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4344,337028] |
[a1,a2,a3,a4,a6] |
Generators |
[494:10664:1] |
Generators of the group modulo torsion |
j |
-10633/52 |
j-invariant |
L |
6.5881932050984 |
L(r)(E,1)/r! |
Ω |
0.55557127587224 |
Real period |
R |
5.9292061083927 |
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 |
24986e1 |
Quadratic twists by: -31 |