Atkin-Lehner |
2- 3+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
93654z |
Isogeny class |
Conductor |
93654 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-4495392 = -1 · 25 · 33 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 11- 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-127700,-17532457] |
[a1,a2,a3,a4,a6] |
Generators |
[23742:1271507:8] |
Generators of the group modulo torsion |
j |
-70492689601054875/1376 |
j-invariant |
L |
11.238191070098 |
L(r)(E,1)/r! |
Ω |
0.12627637332263 |
Real period |
R |
8.8996783518359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008917 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93654c2 93654g1 |
Quadratic twists by: -3 -11 |