Atkin-Lehner |
2- 3+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
92352bs |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
13285389312 = 210 · 36 · 13 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -2 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23693,1411629] |
[a1,a2,a3,a4,a6] |
Generators |
[85:68:1] |
Generators of the group modulo torsion |
j |
1436488814848000/12974013 |
j-invariant |
L |
5.4278622064602 |
L(r)(E,1)/r! |
Ω |
1.1343923231749 |
Real period |
R |
2.3924096181041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994705 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92352z1 23088g1 |
Quadratic twists by: -4 8 |