Atkin-Lehner |
2- 37+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
128686d |
Isogeny class |
Conductor |
128686 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
1302336 |
Modular degree for the optimal curve |
Δ |
-584816816980099072 = -1 · 217 · 377 · 47 |
Discriminant |
Eigenvalues |
2- 0 2 -1 0 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-360304,-90922285] |
[a1,a2,a3,a4,a6] |
j |
-2016134440137/227934208 |
j-invariant |
L |
3.2917438365868 |
L(r)(E,1)/r! |
Ω |
0.096815995553938 |
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 |
3478a1 |
Quadratic twists by: 37 |