Atkin-Lehner |
2+ 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
738c |
Isogeny class |
Conductor |
738 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
4304016 = 24 · 38 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-81,-243] |
[a1,a2,a3,a4,a6] |
j |
81182737/5904 |
j-invariant |
L |
1.5977768393853 |
L(r)(E,1)/r! |
Ω |
1.5977768393853 |
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 |
5904m1 23616k1 246e1 18450bs1 |
Quadratic twists by: -4 8 -3 5 |