Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99372bb |
Isogeny class |
Conductor |
99372 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1100736 |
Modular degree for the optimal curve |
Δ |
677163639765819024 = 24 · 32 · 78 · 138 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 0 13+ -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-251190,27854217] |
[a1,a2,a3,a4,a6] |
Generators |
[606:9927:1] |
Generators of the group modulo torsion |
j |
23296/9 |
j-invariant |
L |
8.7746114744396 |
L(r)(E,1)/r! |
Ω |
0.26133827513443 |
Real period |
R |
5.5959474130473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007325 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99372k1 99372bd1 |
Quadratic twists by: -7 13 |