Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100dn |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-2.8140865482337E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1355340,-1010074975] |
[a1,a2,a3,a4,a6] |
Generators |
[9370:899415:1] |
Generators of the group modulo torsion |
j |
-1605176213504/1640558367 |
j-invariant |
L |
5.5294531746655 |
L(r)(E,1)/r! |
Ω |
0.067207094384331 |
Real period |
R |
6.856236960937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14700w1 44100dm1 6300w1 |
Quadratic twists by: -3 5 -7 |