Atkin-Lehner |
2- 3- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
23856y |
Isogeny class |
Conductor |
23856 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
13728 |
Modular degree for the optimal curve |
Δ |
-1408672944 = -1 · 24 · 311 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -5 1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,231,1278] |
[a1,a2,a3,a4,a6] |
Generators |
[6:54:1] |
Generators of the group modulo torsion |
j |
84831715328/88042059 |
j-invariant |
L |
7.3362715586683 |
L(r)(E,1)/r! |
Ω |
1.0031931093917 |
Real period |
R |
0.66481096392814 |
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 |
5964c1 95424bl1 71568bs1 |
Quadratic twists by: -4 8 -3 |