Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85800bw |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
441600 |
Modular degree for the optimal curve |
Δ |
-1319376093750000 = -1 · 24 · 310 · 510 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11- 13+ 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,27292,-215463] |
[a1,a2,a3,a4,a6] |
Generators |
[6634:194643:8] |
Generators of the group modulo torsion |
j |
14387782400/8444007 |
j-invariant |
L |
6.1919669901359 |
L(r)(E,1)/r! |
Ω |
0.28371838802473 |
Real period |
R |
5.4560853733029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003199 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85800bo1 |
Quadratic twists by: 5 |