Atkin-Lehner |
2+ 3+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
44286d |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2822400 |
Modular degree for the optimal curve |
Δ |
-3.0090238944544E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -2 11- 3 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,617582,-2632314956] |
[a1,a2,a3,a4,a6] |
Generators |
[1338855:82835516:343] |
Generators of the group modulo torsion |
j |
14704504384534271/1698515543328384 |
j-invariant |
L |
2.4615949600117 |
L(r)(E,1)/r! |
Ω |
0.067501485118405 |
Real period |
R |
3.0389392614754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4026f1 |
Quadratic twists by: -11 |