Atkin-Lehner |
3+ 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
3939a |
Isogeny class |
Conductor |
3939 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2280 |
Modular degree for the optimal curve |
Δ |
-40181739 = -1 · 3 · 13 · 1013 |
Discriminant |
Eigenvalues |
-2 3+ -1 5 -2 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-156,-760] |
[a1,a2,a3,a4,a6] |
j |
-422550360064/40181739 |
j-invariant |
L |
0.6714531359484 |
L(r)(E,1)/r! |
Ω |
0.6714531359484 |
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 |
63024t1 11817e1 98475n1 51207a1 |
Quadratic twists by: -4 -3 5 13 |