Atkin-Lehner |
2- 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6498q |
Isogeny class |
Conductor |
6498 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-9980928 = -1 · 210 · 33 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -2 3 -2 1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11,155] |
[a1,a2,a3,a4,a6] |
Generators |
[3:10:1] |
Generators of the group modulo torsion |
j |
-13851/1024 |
j-invariant |
L |
5.7145704174694 |
L(r)(E,1)/r! |
Ω |
1.8907149939486 |
Real period |
R |
0.15112194158716 |
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 |
51984bt1 6498e1 6498c1 |
Quadratic twists by: -4 -3 -19 |