Atkin-Lehner |
7- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
36113b |
Isogeny class |
Conductor |
36113 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
327168 |
Modular degree for the optimal curve |
Δ |
-6549256449536647 = -1 · 77 · 116 · 672 |
Discriminant |
Eigenvalues |
1 2 0 7- 11+ -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1456550,676011239] |
[a1,a2,a3,a4,a6] |
j |
-2904772541375265625/55667761303 |
j-invariant |
L |
1.5546797314054 |
L(r)(E,1)/r! |
Ω |
0.38866993284464 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5159b1 |
Quadratic twists by: -7 |