Atkin-Lehner |
7- 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
67963d |
Isogeny class |
Conductor |
67963 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-19197865347787 = -1 · 712 · 19 · 73 |
Discriminant |
Eigenvalues |
0 2 0 7- -6 1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5063,-250643] |
[a1,a2,a3,a4,a6] |
j |
-122023936000/163179163 |
j-invariant |
L |
2.1572092331968 |
L(r)(E,1)/r! |
Ω |
0.26965115596044 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9709c1 |
Quadratic twists by: -7 |