Atkin-Lehner |
2- 3+ 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
8970n |
Isogeny class |
Conductor |
8970 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-10553516202937500 = -1 · 22 · 32 · 56 · 138 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -6 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-49635,-6543363] |
[a1,a2,a3,a4,a6] |
j |
-13523476093748990641/10553516202937500 |
j-invariant |
L |
1.8567354987747 |
L(r)(E,1)/r! |
Ω |
0.15472795823122 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71760bw1 26910i1 44850w1 116610g1 |
Quadratic twists by: -4 -3 5 13 |