Atkin-Lehner |
2+ 3+ 7+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
25662b |
Isogeny class |
Conductor |
25662 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
196992 |
Modular degree for the optimal curve |
Δ |
-3052701828513792 = -1 · 219 · 34 · 76 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 4 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-36074,3729492] |
[a1,a2,a3,a4,a6] |
j |
-5191889320983397033/3052701828513792 |
j-invariant |
L |
1.6682282438203 |
L(r)(E,1)/r! |
Ω |
0.41705706095512 |
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 |
76986bh1 |
Quadratic twists by: -3 |