Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
23850ch |
Isogeny class |
Conductor |
23850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-4829625000 = -1 · 23 · 36 · 56 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 3 4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,220,-3153] |
[a1,a2,a3,a4,a6] |
Generators |
[23:105:1] |
Generators of the group modulo torsion |
j |
103823/424 |
j-invariant |
L |
8.1773315863929 |
L(r)(E,1)/r! |
Ω |
0.69370813577244 |
Real period |
R |
1.9646426608715 |
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 |
2650c1 954f1 |
Quadratic twists by: -3 5 |