Atkin-Lehner |
2- 3- 5+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
41820g |
Isogeny class |
Conductor |
41820 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
147744 |
Modular degree for the optimal curve |
Δ |
-533187075780720 = -1 · 24 · 39 · 5 · 173 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -1 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19474,380889] |
[a1,a2,a3,a4,a6] |
j |
51044261517430016/33324192236295 |
j-invariant |
L |
2.9292403007221 |
L(r)(E,1)/r! |
Ω |
0.32547114452451 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
125460v1 |
Quadratic twists by: -3 |