Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
67032bw |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-81764616858624 = -1 · 210 · 36 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 3 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7203,494606] |
[a1,a2,a3,a4,a6] |
j |
-9604/19 |
j-invariant |
L |
2.1677475205437 |
L(r)(E,1)/r! |
Ω |
0.54193688072745 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7448c1 67032cc1 |
Quadratic twists by: -3 -7 |