Atkin-Lehner |
2+ 5- 23- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
23230d |
Isogeny class |
Conductor |
23230 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-725937500 = -1 · 22 · 57 · 23 · 101 |
Discriminant |
Eigenvalues |
2+ -1 5- 0 -3 2 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-287,2161] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-31:1] |
Generators of the group modulo torsion |
j |
-2628643361401/725937500 |
j-invariant |
L |
2.7252545573304 |
L(r)(E,1)/r! |
Ω |
1.522810294056 |
Real period |
R |
0.12783013128368 |
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 |
116150o1 |
Quadratic twists by: 5 |