Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85800db |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
264192 |
Modular degree for the optimal curve |
Δ |
-61556811030000 = -1 · 24 · 316 · 54 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11- 13+ -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21308,1248213] |
[a1,a2,a3,a4,a6] |
Generators |
[82:-243:1] |
Generators of the group modulo torsion |
j |
-106997137235200/6155681103 |
j-invariant |
L |
6.8798229106537 |
L(r)(E,1)/r! |
Ω |
0.61455442080228 |
Real period |
R |
0.34983796158552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004702 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85800h1 |
Quadratic twists by: 5 |