Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
36300bu |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-14179687500000000 = -1 · 28 · 3 · 516 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- 2 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-108533,14871063] |
[a1,a2,a3,a4,a6] |
j |
-292124360704/29296875 |
j-invariant |
L |
2.3171787436692 |
L(r)(E,1)/r! |
Ω |
0.38619645728028 |
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 |
108900co1 7260c1 36300br1 |
Quadratic twists by: -3 5 -11 |