Atkin-Lehner |
2- 3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51546h |
Isogeny class |
Conductor |
51546 |
Conductor |
∏ cp |
135 |
Product of Tamagawa factors cp |
deg |
1944000 |
Modular degree for the optimal curve |
Δ |
-924066532557679104 = -1 · 29 · 315 · 116 · 71 |
Discriminant |
Eigenvalues |
2- 3- 3 1 11- -2 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2783789,-1788562863] |
[a1,a2,a3,a4,a6] |
j |
-1346717656727992297/521611467264 |
j-invariant |
L |
7.8892216497921 |
L(r)(E,1)/r! |
Ω |
0.058438678893298 |
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 |
426c1 |
Quadratic twists by: -11 |