Atkin-Lehner |
2+ 3+ 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
45990d |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
718080 |
Modular degree for the optimal curve |
Δ |
131832387993600000 = 222 · 39 · 55 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-879810,-316936684] |
[a1,a2,a3,a4,a6] |
Generators |
[1353675827724845:-40233350115176102:871804955377] |
Generators of the group modulo torsion |
j |
3826479394535933043/6697779200000 |
j-invariant |
L |
4.049672697491 |
L(r)(E,1)/r! |
Ω |
0.15590066561815 |
Real period |
R |
25.975980804432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45990bq1 |
Quadratic twists by: -3 |