Atkin-Lehner |
2+ 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85800bl |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
441600 |
Modular degree for the optimal curve |
Δ |
-16818516000000000 = -1 · 211 · 35 · 59 · 113 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 11+ 13+ 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31208,-6600912] |
[a1,a2,a3,a4,a6] |
Generators |
[2283:108750:1] |
Generators of the group modulo torsion |
j |
-840379498/4204629 |
j-invariant |
L |
8.7146000332733 |
L(r)(E,1)/r! |
Ω |
0.16213514162182 |
Real period |
R |
5.374898952172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005897 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85800cf1 |
Quadratic twists by: 5 |