Atkin-Lehner |
2+ 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6498d |
Isogeny class |
Conductor |
6498 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
70376309754948 = 22 · 39 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 2 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10356,43100] |
[a1,a2,a3,a4,a6] |
j |
132651/76 |
j-invariant |
L |
2.1083102602745 |
L(r)(E,1)/r! |
Ω |
0.52707756506862 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51984bq1 6498p1 342d1 |
Quadratic twists by: -4 -3 -19 |