Atkin-Lehner |
3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
90405p |
Isogeny class |
Conductor |
90405 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2359296 |
Modular degree for the optimal curve |
Δ |
1187283194628890625 = 38 · 56 · 710 · 41 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 2 4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8121465,8910275800] |
[a1,a2,a3,a4,a6] |
Generators |
[1108454455316:-2017559305306:660776311] |
Generators of the group modulo torsion |
j |
690734431140542209/13843265625 |
j-invariant |
L |
8.2191579001326 |
L(r)(E,1)/r! |
Ω |
0.25229516924958 |
Real period |
R |
16.288773829087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999721 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30135r1 12915s1 |
Quadratic twists by: -3 -7 |