Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30576ci |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-32223865844072448 = -1 · 216 · 38 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 5 13+ 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61168,10395860] |
[a1,a2,a3,a4,a6] |
Generators |
[212:2646:1] |
Generators of the group modulo torsion |
j |
-1071912625/1364688 |
j-invariant |
L |
7.3720152155636 |
L(r)(E,1)/r! |
Ω |
0.33402100653147 |
Real period |
R |
0.45980236967452 |
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 |
3822r1 122304en1 91728dg1 30576by1 |
Quadratic twists by: -4 8 -3 -7 |