Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600cx |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-78608000000000 = -1 · 213 · 59 · 173 |
Discriminant |
Eigenvalues |
2- -1 5- -2 0 1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7792,-337088] |
[a1,a2,a3,a4,a6] |
Generators |
[42:250:1] |
Generators of the group modulo torsion |
j |
1331/2 |
j-invariant |
L |
4.1759756139257 |
L(r)(E,1)/r! |
Ω |
0.32309664696593 |
Real period |
R |
1.6156062048434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000079282 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14450bg1 115600cq1 115600cp1 |
Quadratic twists by: -4 5 17 |