Atkin-Lehner |
2- 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
23856t |
Isogeny class |
Conductor |
23856 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-373976580096 = -1 · 214 · 38 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,296,-29456] |
[a1,a2,a3,a4,a6] |
Generators |
[60:448:1] |
Generators of the group modulo torsion |
j |
697864103/91302876 |
j-invariant |
L |
3.0471953601369 |
L(r)(E,1)/r! |
Ω |
0.4510320927937 |
Real period |
R |
1.6890124942454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2982d1 95424cm1 71568ca1 |
Quadratic twists by: -4 8 -3 |