Atkin-Lehner |
2+ 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640r |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
95133450240 = 214 · 39 · 5 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -3 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2005,31885] |
[a1,a2,a3,a4,a6] |
Generators |
[12:97:1] |
Generators of the group modulo torsion |
j |
54433153024/5806485 |
j-invariant |
L |
3.7272840088022 |
L(r)(E,1)/r! |
Ω |
1.0358770983106 |
Real period |
R |
3.5981913443983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999465 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56640cy1 3540f1 |
Quadratic twists by: -4 8 |