Atkin-Lehner |
2- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
23998m |
Isogeny class |
Conductor |
23998 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-36857856256 = -1 · 28 · 134 · 712 |
Discriminant |
Eigenvalues |
2- 2 1 -4 0 13+ 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2285,-43997] |
[a1,a2,a3,a4,a6] |
Generators |
[191:2460:1] |
Generators of the group modulo torsion |
j |
-46197746881/1290496 |
j-invariant |
L |
10.802445884034 |
L(r)(E,1)/r! |
Ω |
0.34469236020183 |
Real period |
R |
1.9587114357765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23998b1 |
Quadratic twists by: 13 |