Atkin-Lehner |
2+ 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
88872m |
Isogeny class |
Conductor |
88872 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
25595136 = 28 · 33 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 0 -6 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-84,144] |
[a1,a2,a3,a4,a6] |
Generators |
[0:12:1] |
Generators of the group modulo torsion |
j |
489808/189 |
j-invariant |
L |
9.550820266597 |
L(r)(E,1)/r! |
Ω |
1.931043474887 |
Real period |
R |
0.82432291143732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999901702 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88872s1 |
Quadratic twists by: -23 |