Atkin-Lehner |
2- 3- 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
77700ba |
Isogeny class |
Conductor |
77700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
231552 |
Modular degree for the optimal curve |
Δ |
-1667901984000 = -1 · 28 · 3 · 53 · 73 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -1 0 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-59948,5629908] |
[a1,a2,a3,a4,a6] |
j |
-744569212131344/52121937 |
j-invariant |
L |
1.6000121028324 |
L(r)(E,1)/r! |
Ω |
0.80000605598065 |
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 |
77700m1 |
Quadratic twists by: 5 |