Atkin-Lehner |
2- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36176x |
Isogeny class |
Conductor |
36176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
578816 = 28 · 7 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 0 3 7- 6 5 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3176,68892] |
[a1,a2,a3,a4,a6] |
j |
13839653855232/2261 |
j-invariant |
L |
4.5618085727492 |
L(r)(E,1)/r! |
Ω |
2.280904286372 |
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 |
9044b1 |
Quadratic twists by: -4 |