Atkin-Lehner |
2+ 3- 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
36312c |
Isogeny class |
Conductor |
36312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
457920 |
Modular degree for the optimal curve |
Δ |
-137797215083490048 = -1 · 28 · 3 · 1710 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 2 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-147865,28198379] |
[a1,a2,a3,a4,a6] |
j |
-1396634760092363776/538270371419883 |
j-invariant |
L |
2.4625067280116 |
L(r)(E,1)/r! |
Ω |
0.30781334100161 |
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 |
72624c1 108936q1 |
Quadratic twists by: -4 -3 |