Atkin-Lehner |
3+ 5+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
75525a |
Isogeny class |
Conductor |
75525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-35844873046875 = -1 · 36 · 511 · 19 · 53 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 3 5 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,6500,208375] |
[a1,a2,a3,a4,a6] |
j |
1943297778239/2294071875 |
j-invariant |
L |
1.7410599710504 |
L(r)(E,1)/r! |
Ω |
0.43526499532663 |
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 |
15105c1 |
Quadratic twists by: 5 |