Atkin-Lehner |
2+ 3+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23826c |
Isogeny class |
Conductor |
23826 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
464464044 = 22 · 34 · 11 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -1 11+ 6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-729,7209] |
[a1,a2,a3,a4,a6] |
Generators |
[36:153:1] |
Generators of the group modulo torsion |
j |
329474953/3564 |
j-invariant |
L |
2.5456425398984 |
L(r)(E,1)/r! |
Ω |
1.671662087327 |
Real period |
R |
0.12690177035963 |
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 |
71478ck1 23826bh1 |
Quadratic twists by: -3 -19 |