Atkin-Lehner |
2- 5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
80080bq |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-1462586245120 = -1 · 216 · 5 · 74 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11- 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2053,45866] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:156:1] |
Generators of the group modulo torsion |
j |
233631077679/357076720 |
j-invariant |
L |
6.4035535323964 |
L(r)(E,1)/r! |
Ω |
0.57851154165969 |
Real period |
R |
2.7672540084623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003121 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010x1 |
Quadratic twists by: -4 |