Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
78650l |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-26174720000000 = -1 · 214 · 57 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 11- 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6526,318448] |
[a1,a2,a3,a4,a6] |
Generators |
[101:781:1] |
Generators of the group modulo torsion |
j |
-16254134809/13844480 |
j-invariant |
L |
5.6450609078689 |
L(r)(E,1)/r! |
Ω |
0.61245430115931 |
Real period |
R |
1.1521392078937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15730t1 78650bs1 |
Quadratic twists by: 5 -11 |