Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
81200bq |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
21323881250000 = 24 · 58 · 76 · 29 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 6 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14533,-641562] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:98:1] |
Generators of the group modulo torsion |
j |
1357936328704/85295525 |
j-invariant |
L |
4.4289774085839 |
L(r)(E,1)/r! |
Ω |
0.43653016827306 |
Real period |
R |
1.6909779788338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970776 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20300d1 16240j1 |
Quadratic twists by: -4 5 |