Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
61600bb |
Isogeny class |
Conductor |
61600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-24747740864000000 = -1 · 212 · 56 · 74 · 115 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 11+ 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-807133,-279475637] |
[a1,a2,a3,a4,a6] |
j |
-908614343190016/386683451 |
j-invariant |
L |
2.8669799244129 |
L(r)(E,1)/r! |
Ω |
0.079638331336808 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61600o1 123200t1 2464e1 |
Quadratic twists by: -4 8 5 |