Atkin-Lehner |
2+ 3- 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090z |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
88297209000000 = 26 · 36 · 56 · 7 · 113 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19710,969300] |
[a1,a2,a3,a4,a6] |
j |
1161631688686561/121121000000 |
j-invariant |
L |
1.1730862027109 |
L(r)(E,1)/r! |
Ω |
0.58654305849985 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010z1 |
Quadratic twists by: -3 |