Atkin-Lehner |
2+ 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
40362c |
Isogeny class |
Conductor |
40362 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
62398608803748 = 22 · 34 · 7 · 317 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 6 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10110,-97344] |
[a1,a2,a3,a4,a6] |
j |
128787625/70308 |
j-invariant |
L |
2.0333180244467 |
L(r)(E,1)/r! |
Ω |
0.50832950611614 |
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 |
121086y1 1302e1 |
Quadratic twists by: -3 -31 |