Atkin-Lehner |
2+ 3- 7- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
36582c |
Isogeny class |
Conductor |
36582 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1101408 |
Modular degree for the optimal curve |
Δ |
-7488405039080224896 = -1 · 27 · 3 · 711 · 133 · 672 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -3 13+ 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-426070,-169720600] |
[a1,a2,a3,a4,a6] |
j |
-8553918644897248129753/7488405039080224896 |
j-invariant |
L |
1.9829220229409 |
L(r)(E,1)/r! |
Ω |
0.090132819224839 |
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 |
109746t1 |
Quadratic twists by: -3 |