Atkin-Lehner |
2- 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
80080bu |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-11939479552000 = -1 · 220 · 53 · 72 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11+ 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7307,-292294] |
[a1,a2,a3,a4,a6] |
Generators |
[127:910:1] |
Generators of the group modulo torsion |
j |
-10533703412961/2914912000 |
j-invariant |
L |
6.524856111745 |
L(r)(E,1)/r! |
Ω |
0.25452602546454 |
Real period |
R |
2.1362766658843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004633 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010u1 |
Quadratic twists by: -4 |