Atkin-Lehner |
2- 3+ 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
71760z |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
377816400 = 24 · 35 · 52 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1841,-29784] |
[a1,a2,a3,a4,a6] |
Generators |
[11274:422877:8] |
Generators of the group modulo torsion |
j |
43152004562944/23613525 |
j-invariant |
L |
5.3728632652725 |
L(r)(E,1)/r! |
Ω |
0.72883750882667 |
Real period |
R |
7.3718259568987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987765 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17940e1 |
Quadratic twists by: -4 |