Atkin-Lehner |
2+ 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45120be |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
220 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
-5.987893248E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -2 5 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26801505,-53427521025] |
[a1,a2,a3,a4,a6] |
Generators |
[24915:3840000:1] |
Generators of the group modulo torsion |
j |
-8121969458732291369689/2284200000000000 |
j-invariant |
L |
8.0432797147252 |
L(r)(E,1)/r! |
Ω |
0.033175878749465 |
Real period |
R |
1.1020163961807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45120cd1 1410a1 |
Quadratic twists by: -4 8 |