Atkin-Lehner |
2+ 5- 23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
77050j |
Isogeny class |
Conductor |
77050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
111360 |
Modular degree for the optimal curve |
Δ |
161323437500 = 22 · 58 · 23 · 672 |
Discriminant |
Eigenvalues |
2+ 0 5- -3 1 1 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12992,572916] |
[a1,a2,a3,a4,a6] |
Generators |
[119:-897:1] |
Generators of the group modulo torsion |
j |
620884068345/412988 |
j-invariant |
L |
3.4245056771208 |
L(r)(E,1)/r! |
Ω |
1.0122779274938 |
Real period |
R |
0.28191415158962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77050n1 |
Quadratic twists by: 5 |