Atkin-Lehner |
2+ 3- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
53088h |
Isogeny class |
Conductor |
53088 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-64755937161216 = -1 · 212 · 35 · 77 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -6 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15965,-872949] |
[a1,a2,a3,a4,a6] |
Generators |
[205:2124:1] |
Generators of the group modulo torsion |
j |
-109874708379136/15809554971 |
j-invariant |
L |
6.9038719030645 |
L(r)(E,1)/r! |
Ω |
0.21068173704521 |
Real period |
R |
3.2769199646668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998887 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53088k1 106176c1 |
Quadratic twists by: -4 8 |