Atkin-Lehner |
3- 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
116325bf |
Isogeny class |
Conductor |
116325 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-1141720787109375 = -1 · 37 · 59 · 112 · 472 |
Discriminant |
Eigenvalues |
1 3- 5- -4 11- -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9117,-1657584] |
[a1,a2,a3,a4,a6] |
Generators |
[180:1494:1] [1902:23799:8] |
Generators of the group modulo torsion |
j |
-58863869/801867 |
j-invariant |
L |
11.808132709696 |
L(r)(E,1)/r! |
Ω |
0.20881665777605 |
Real period |
R |
7.0684810519638 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992387 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38775p1 116325bk1 |
Quadratic twists by: -3 5 |