Atkin-Lehner |
2+ 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
23184j |
Isogeny class |
Conductor |
23184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
5889106944 = 210 · 36 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23691,1403530] |
[a1,a2,a3,a4,a6] |
Generators |
[93:68:1] |
Generators of the group modulo torsion |
j |
1969910093092/7889 |
j-invariant |
L |
4.6861633569667 |
L(r)(E,1)/r! |
Ω |
1.1842289383778 |
Real period |
R |
1.9785715435168 |
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 |
11592e1 92736em1 2576c1 |
Quadratic twists by: -4 8 -3 |