Atkin-Lehner |
2- 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
87814f |
Isogeny class |
Conductor |
87814 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2208000 |
Modular degree for the optimal curve |
Δ |
-4566195772013247376 = -1 · 24 · 2310 · 832 |
Discriminant |
Eigenvalues |
2- -2 1 -2 4 -5 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5830,-102810636] |
[a1,a2,a3,a4,a6] |
Generators |
[3910:24759:8] |
Generators of the group modulo torsion |
j |
-529/110224 |
j-invariant |
L |
7.2584363974004 |
L(r)(E,1)/r! |
Ω |
0.11190296595547 |
Real period |
R |
8.1079580123137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002807 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87814i1 |
Quadratic twists by: -23 |