Atkin-Lehner |
2+ 3+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
45150r |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
146286000000 = 27 · 35 · 56 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2425,41125] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-7:1] |
Generators of the group modulo torsion |
j |
100999381393/9362304 |
j-invariant |
L |
3.4895116073005 |
L(r)(E,1)/r! |
Ω |
1.0034099411816 |
Real period |
R |
3.477653015062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1806l1 |
Quadratic twists by: 5 |