Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
96600ch |
Isogeny class |
Conductor |
96600 |
Conductor |
∏ cp |
98 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-265120233235200 = -1 · 28 · 37 · 52 · 77 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 0 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-97193,11656683] |
[a1,a2,a3,a4,a6] |
Generators |
[169:-294:1] |
Generators of the group modulo torsion |
j |
-15865478279879680/41425036443 |
j-invariant |
L |
8.4510522787059 |
L(r)(E,1)/r! |
Ω |
0.55323069806954 |
Real period |
R |
0.155875708955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006549 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96600r1 |
Quadratic twists by: 5 |