Atkin-Lehner |
3+ 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
85557a |
Isogeny class |
Conductor |
85557 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
-3467368539 = -1 · 34 · 193 · 792 |
Discriminant |
Eigenvalues |
-2 3+ -1 1 -5 2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,374,420] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-86:1] [3:39:1] |
Generators of the group modulo torsion |
j |
841232384/505521 |
j-invariant |
L |
4.5197459341772 |
L(r)(E,1)/r! |
Ω |
0.86270943438396 |
Real period |
R |
0.65487662388402 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998211 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85557c1 |
Quadratic twists by: -19 |