Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
36300v |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
299376 |
Modular degree for the optimal curve |
Δ |
-42192258547230000 = -1 · 24 · 39 · 54 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -3 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,44367,9190062] |
[a1,a2,a3,a4,a6] |
j |
4505600/19683 |
j-invariant |
L |
0.25869288691613 |
L(r)(E,1)/r! |
Ω |
0.25869288693272 |
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 |
108900db1 36300bh1 36300u1 |
Quadratic twists by: -3 5 -11 |