Atkin-Lehner |
2- 3+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
115632l |
Isogeny class |
Conductor |
115632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
88805376 = 212 · 33 · 11 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11+ 2 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-819,9010] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:10:1] [-7:120:1] |
Generators of the group modulo torsion |
j |
549353259/803 |
j-invariant |
L |
12.07271445108 |
L(r)(E,1)/r! |
Ω |
1.908395271696 |
Real period |
R |
3.1630539621104 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000213 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7227b1 115632r1 |
Quadratic twists by: -4 -3 |