Atkin-Lehner |
2- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
40204j |
Isogeny class |
Conductor |
40204 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35136 |
Modular degree for the optimal curve |
Δ |
-17648591104 = -1 · 28 · 194 · 232 |
Discriminant |
Eigenvalues |
2- 2 -1 -4 6 -3 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,284,-6216] |
[a1,a2,a3,a4,a6] |
j |
18640304/130321 |
j-invariant |
L |
2.449564930407 |
L(r)(E,1)/r! |
Ω |
0.61239123257953 |
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 |
40204b1 |
Quadratic twists by: -23 |