Atkin-Lehner |
2- 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
45450bm |
Isogeny class |
Conductor |
45450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
272700 = 22 · 33 · 52 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 0 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20,27] |
[a1,a2,a3,a4,a6] |
Generators |
[5:3:1] |
Generators of the group modulo torsion |
j |
1250235/404 |
j-invariant |
L |
9.7500698523106 |
L(r)(E,1)/r! |
Ω |
2.857249912706 |
Real period |
R |
0.85309914692364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45450a1 45450i1 |
Quadratic twists by: -3 5 |