Atkin-Lehner |
2+ 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
84280a |
Isogeny class |
Conductor |
84280 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
396480 |
Modular degree for the optimal curve |
Δ |
-1586473235200000 = -1 · 211 · 55 · 78 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 2 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-116963,15515262] |
[a1,a2,a3,a4,a6] |
Generators |
[1666:3479:8] |
Generators of the group modulo torsion |
j |
-14988388338/134375 |
j-invariant |
L |
5.3071060997894 |
L(r)(E,1)/r! |
Ω |
0.47753980679964 |
Real period |
R |
3.7044772796817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012231 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84280j1 |
Quadratic twists by: -7 |