Atkin-Lehner |
3- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
44541d |
Isogeny class |
Conductor |
44541 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
34380979159149 = 310 · 78 · 101 |
Discriminant |
Eigenvalues |
0 3- -3 7- 0 -3 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-457464,119091915] |
[a1,a2,a3,a4,a6] |
Generators |
[371:661:1] |
Generators of the group modulo torsion |
j |
123446480601088/400869 |
j-invariant |
L |
3.3316558778298 |
L(r)(E,1)/r! |
Ω |
0.57105233616309 |
Real period |
R |
1.458559779398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999841 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14847f1 6363b1 |
Quadratic twists by: -3 -7 |