Atkin-Lehner |
2- 3+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47424ci |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
283767763968 = 210 · 310 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 -6 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5933,176013] |
[a1,a2,a3,a4,a6] |
Generators |
[37:76:1] |
Generators of the group modulo torsion |
j |
22559008000000/277116957 |
j-invariant |
L |
2.794461706486 |
L(r)(E,1)/r! |
Ω |
0.97885629971717 |
Real period |
R |
1.4274116166426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47424by1 11856l1 |
Quadratic twists by: -4 8 |