Atkin-Lehner |
2- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97216bg |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-93694895587328 = -1 · 219 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 1 -4 7+ 4 1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-47105,-3978241] |
[a1,a2,a3,a4,a6] |
Generators |
[6954525:95644576:19683] |
Generators of the group modulo torsion |
j |
-7649089/62 |
j-invariant |
L |
6.8091712719094 |
L(r)(E,1)/r! |
Ω |
0.16195408343733 |
Real period |
R |
10.51095953773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97216a1 24304i1 97216bq1 |
Quadratic twists by: -4 8 -7 |