Atkin-Lehner |
2- 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
45120cd |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
22 |
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] |
j |
-8121969458732291369689/2284200000000000 |
j-invariant |
L |
3.5044488860307 |
L(r)(E,1)/r! |
Ω |
0.15929313119158 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45120be1 11280s1 |
Quadratic twists by: -4 8 |