Atkin-Lehner |
2- 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6498p |
Isogeny class |
Conductor |
6498 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
96538147812 = 22 · 33 · 197 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -2 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1151,-1213] |
[a1,a2,a3,a4,a6] |
Generators |
[423:8452:1] |
Generators of the group modulo torsion |
j |
132651/76 |
j-invariant |
L |
5.3603167097777 |
L(r)(E,1)/r! |
Ω |
0.88911766267392 |
Real period |
R |
1.5072011654951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51984bs1 6498d1 342e1 |
Quadratic twists by: -4 -3 -19 |