Atkin-Lehner |
2- 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
342d |
Isogeny class |
Conductor |
342 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48 |
Modular degree for the optimal curve |
Δ |
1495908 = 22 · 39 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 2 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29,1] |
[a1,a2,a3,a4,a6] |
j |
132651/76 |
j-invariant |
L |
2.2375637155543 |
L(r)(E,1)/r! |
Ω |
2.2375637155543 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2736k1 10944g1 342e1 8550a1 |
Quadratic twists by: -4 8 -3 5 |