Atkin-Lehner |
2- 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
15582s |
Isogeny class |
Conductor |
15582 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-256590277905024 = -1 · 27 · 38 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -1 4 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-36359,-2792707] |
[a1,a2,a3,a4,a6] |
j |
-45182682230113/2180981376 |
j-invariant |
L |
4.8267354083407 |
L(r)(E,1)/r! |
Ω |
0.17238340744074 |
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 |
124656du1 46746l1 2226j1 |
Quadratic twists by: -4 -3 -7 |