Atkin-Lehner |
2- 3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
85800bz |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-331038850428000000 = -1 · 28 · 314 · 56 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,71292,-26718588] |
[a1,a2,a3,a4,a6] |
j |
10017976862000/82759712607 |
j-invariant |
L |
1.8119612686073 |
L(r)(E,1)/r! |
Ω |
0.1509967679069 |
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 |
3432c1 |
Quadratic twists by: 5 |