Atkin-Lehner |
2+ 3+ 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
85800n |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-23214723773670000 = -1 · 24 · 38 · 54 · 115 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11+ 13- 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5492,-7330763] |
[a1,a2,a3,a4,a6] |
Generators |
[322:-5265:1] |
Generators of the group modulo torsion |
j |
1831623545600/2321472377367 |
j-invariant |
L |
5.0898117419617 |
L(r)(E,1)/r! |
Ω |
0.1768512029593 |
Real period |
R |
0.79944980344921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003775 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85800cn1 |
Quadratic twists by: 5 |