Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
2300c |
Isogeny class |
Conductor |
2300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-460000000 = -1 · 28 · 57 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ 1 6 -6 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-200,-1500] |
[a1,a2,a3,a4,a6] |
Generators |
[20:50:1] |
Generators of the group modulo torsion |
j |
-221184/115 |
j-invariant |
L |
3.1529591934669 |
L(r)(E,1)/r! |
Ω |
0.61960095621161 |
Real period |
R |
0.42405776947484 |
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 |
9200r1 36800t1 20700h1 460a1 |
Quadratic twists by: -4 8 -3 5 |