Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
36784bf |
Isogeny class |
Conductor |
36784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-136661119426101248 = -1 · 225 · 118 · 19 |
Discriminant |
Eigenvalues |
2- 1 -2 -3 11- -1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,127736,-2710028] |
[a1,a2,a3,a4,a6] |
j |
31764658463/18833408 |
j-invariant |
L |
0.76719055072238 |
L(r)(E,1)/r! |
Ω |
0.1917976376781 |
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 |
4598f1 3344i1 |
Quadratic twists by: -4 -11 |