Atkin-Lehner |
2- 3- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
36270bt |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
22306753347840 = 28 · 39 · 5 · 134 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8897,231761] |
[a1,a2,a3,a4,a6] |
j |
106827039259849/30599112960 |
j-invariant |
L |
5.0460651660839 |
L(r)(E,1)/r! |
Ω |
0.63075814576252 |
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 |
12090j1 |
Quadratic twists by: -3 |