Atkin-Lehner |
2+ 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
90334a |
Isogeny class |
Conductor |
90334 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
982080 |
Modular degree for the optimal curve |
Δ |
120578323309258816 = 26 · 318 · 472 |
Discriminant |
Eigenvalues |
2+ -1 -1 -3 -5 3 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-123508,-20464] |
[a1,a2,a3,a4,a6] |
Generators |
[400:3644:1] |
Generators of the group modulo torsion |
j |
244298569/141376 |
j-invariant |
L |
2.3048230948543 |
L(r)(E,1)/r! |
Ω |
0.27980428926867 |
Real period |
R |
0.686439055493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999577952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90334c1 |
Quadratic twists by: -31 |