Atkin-Lehner |
2- 3+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
90738u |
Isogeny class |
Conductor |
90738 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
40487040 |
Modular degree for the optimal curve |
Δ |
-4.1006693641298E+24 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -6 5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-728997599,-7576396999289] |
[a1,a2,a3,a4,a6] |
Generators |
[7287429457706357569707815160809550001216867:522804655037151001773487114922755464487247786:216803309689019036771459801411071639429] |
Generators of the group modulo torsion |
j |
-668693691/64 |
j-invariant |
L |
11.693843110763 |
L(r)(E,1)/r! |
Ω |
0.014527321262136 |
Real period |
R |
67.079601828371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90738c1 90738t1 |
Quadratic twists by: -3 -71 |