Atkin-Lehner |
2- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
23998k |
Isogeny class |
Conductor |
23998 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
74256 |
Modular degree for the optimal curve |
Δ |
19575905842558 = 2 · 1310 · 71 |
Discriminant |
Eigenvalues |
2- 1 0 1 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-86278,9744838] |
[a1,a2,a3,a4,a6] |
Generators |
[1199194722:1963009369:7762392] |
Generators of the group modulo torsion |
j |
515217625/142 |
j-invariant |
L |
9.9573414769131 |
L(r)(E,1)/r! |
Ω |
0.66964672948367 |
Real period |
R |
14.86954395281 |
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 |
23998a1 |
Quadratic twists by: 13 |