Atkin-Lehner |
2- 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472cg |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
14175539136 = 26 · 310 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11+ -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-932,9030] |
[a1,a2,a3,a4,a6] |
Generators |
[1:90:1] |
Generators of the group modulo torsion |
j |
1400416996672/221492799 |
j-invariant |
L |
9.9274809513103 |
L(r)(E,1)/r! |
Ω |
1.1979902052758 |
Real period |
R |
1.6573559462713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998663 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472bz1 32736b2 |
Quadratic twists by: -4 8 |