Atkin-Lehner |
2- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111320x |
Isogeny class |
Conductor |
111320 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
777600 |
Modular degree for the optimal curve |
Δ |
-364875975725536000 = -1 · 28 · 53 · 116 · 235 |
Discriminant |
Eigenvalues |
2- 0 5- -1 11- 2 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,177628,3785364] |
[a1,a2,a3,a4,a6] |
Generators |
[473:13915:1] |
Generators of the group modulo torsion |
j |
1366664500224/804542875 |
j-invariant |
L |
7.1673962543935 |
L(r)(E,1)/r! |
Ω |
0.1835220010041 |
Real period |
R |
0.65091162584868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001568 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
920a1 |
Quadratic twists by: -11 |