Atkin-Lehner |
2- 3+ 5- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
81180c |
Isogeny class |
Conductor |
81180 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
64576512 |
Modular degree for the optimal curve |
Δ |
177540660000000 = 28 · 39 · 57 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11+ -2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37619658792,2808473898032676] |
[a1,a2,a3,a4,a6] |
j |
1168522316434200561569501847552/35234375 |
j-invariant |
L |
3.7576148151931 |
L(r)(E,1)/r! |
Ω |
0.089467021093647 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81180b1 |
Quadratic twists by: -3 |