Atkin-Lehner |
2- 3+ 5+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
56760n |
Isogeny class |
Conductor |
56760 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
17610141386970000 = 24 · 32 · 54 · 113 · 435 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11+ -4 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-173096,27031521] |
[a1,a2,a3,a4,a6] |
Generators |
[356:-3225:1] |
Generators of the group modulo torsion |
j |
35848198413653649664/1100633836685625 |
j-invariant |
L |
4.258350094225 |
L(r)(E,1)/r! |
Ω |
0.38694824707802 |
Real period |
R |
0.2751240072997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000181 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113520m1 |
Quadratic twists by: -4 |