Atkin-Lehner |
5- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111265m |
Isogeny class |
Conductor |
111265 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-2274759622722895 = -1 · 5 · 72 · 113 · 178 |
Discriminant |
Eigenvalues |
-1 -2 5- 7+ 11- -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,28605,1343320] |
[a1,a2,a3,a4,a6] |
Generators |
[1027:32866:1] |
Generators of the group modulo torsion |
j |
107239576751/94241455 |
j-invariant |
L |
2.9134116380905 |
L(r)(E,1)/r! |
Ω |
0.30013675453769 |
Real period |
R |
1.6178245309772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045503 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6545c1 |
Quadratic twists by: 17 |