Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
36300bp |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
-7716919716000000 = -1 · 28 · 32 · 56 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 3 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11092,-4198812] |
[a1,a2,a3,a4,a6] |
j |
176/9 |
j-invariant |
L |
3.5881693504551 |
L(r)(E,1)/r! |
Ω |
0.19934274169159 |
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 |
108900cg1 1452a1 36300bl1 |
Quadratic twists by: -3 5 -11 |