Atkin-Lehner |
2- 3+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
92352bn |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
898157924352 = 212 · 32 · 13 · 374 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -4 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-129941833,-570083672471] |
[a1,a2,a3,a4,a6] |
Generators |
[77586887926240:3708916681376757:5451776000] |
Generators of the group modulo torsion |
j |
59239411271478931375000000/219276837 |
j-invariant |
L |
3.9674227217662 |
L(r)(E,1)/r! |
Ω |
0.044715934076059 |
Real period |
R |
22.18125822536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999116 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92352cd2 46176k1 |
Quadratic twists by: -4 8 |