Atkin-Lehner |
2- 3- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
49608p |
Isogeny class |
Conductor |
49608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
940270032 = 24 · 38 · 132 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 4 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1470,-21643] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:7:1] [58:297:1] |
Generators of the group modulo torsion |
j |
30118144000/80613 |
j-invariant |
L |
9.0992874498316 |
L(r)(E,1)/r! |
Ω |
0.77115216882805 |
Real period |
R |
5.899800206527 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99216m1 16536d1 |
Quadratic twists by: -4 -3 |