Atkin-Lehner |
2- 3- 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
40584ba |
Isogeny class |
Conductor |
40584 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-12658311936 = -1 · 28 · 34 · 193 · 89 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 5 -1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29580,-1968048] |
[a1,a2,a3,a4,a6] |
j |
-11181316420048336/49446531 |
j-invariant |
L |
2.9123171020147 |
L(r)(E,1)/r! |
Ω |
0.18201981887419 |
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 |
81168q1 121752e1 |
Quadratic twists by: -4 -3 |