Atkin-Lehner |
3+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
76893a |
Isogeny class |
Conductor |
76893 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
-879052239439119 = -1 · 36 · 198 · 71 |
Discriminant |
Eigenvalues |
-1 3+ 2 -4 2 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-61197,5973546] |
[a1,a2,a3,a4,a6] |
j |
-538757027353/18684999 |
j-invariant |
L |
0.99263593341005 |
L(r)(E,1)/r! |
Ω |
0.49631796153622 |
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 |
4047b1 |
Quadratic twists by: -19 |