Atkin-Lehner |
2+ 3- 5+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090r |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
24791712635289600 = 224 · 310 · 52 · 7 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-392355,-94192875] |
[a1,a2,a3,a4,a6] |
Generators |
[-369:675:1] [-353:654:1] |
Generators of the group modulo torsion |
j |
9162930252277554481/34007836262400 |
j-invariant |
L |
7.9223344212914 |
L(r)(E,1)/r! |
Ω |
0.19079924194982 |
Real period |
R |
20.760916921347 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996708 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030by1 |
Quadratic twists by: -3 |