Atkin-Lehner |
2- 3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85800cb |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-52123500000000 = -1 · 28 · 36 · 59 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ 13+ 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11833,609037] |
[a1,a2,a3,a4,a6] |
Generators |
[367:6750:1] |
Generators of the group modulo torsion |
j |
-366500864/104247 |
j-invariant |
L |
5.8161352132189 |
L(r)(E,1)/r! |
Ω |
0.59921101657056 |
Real period |
R |
1.2132902798586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953664 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85800bm1 |
Quadratic twists by: 5 |