Atkin-Lehner |
3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
45177c |
Isogeny class |
Conductor |
45177 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-135260073531 = -1 · 38 · 11 · 374 |
Discriminant |
Eigenvalues |
0 3- -3 -2 11+ -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,913,-13855] |
[a1,a2,a3,a4,a6] |
Generators |
[170:-1003:8] [19:103:1] |
Generators of the group modulo torsion |
j |
44859392/72171 |
j-invariant |
L |
7.225850820599 |
L(r)(E,1)/r! |
Ω |
0.54705364272068 |
Real period |
R |
0.55036123336573 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45177b1 |
Quadratic twists by: 37 |