Atkin-Lehner |
3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
45177d |
Isogeny class |
Conductor |
45177 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
9388857580330833 = 35 · 11 · 378 |
Discriminant |
Eigenvalues |
1 3- 0 -4 11+ -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-93121,-9901921] |
[a1,a2,a3,a4,a6] |
Generators |
[-203:905:1] [2149:97493:1] |
Generators of the group modulo torsion |
j |
34805634625/3659337 |
j-invariant |
L |
11.66351949681 |
L(r)(E,1)/r! |
Ω |
0.27515719308815 |
Real period |
R |
8.4777136777053 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1221b1 |
Quadratic twists by: 37 |