Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
44100z |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-3.15190494675E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 -1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,205800,-267711500] |
[a1,a2,a3,a4,a6] |
Generators |
[40210685:254983575825:1] |
Generators of the group modulo torsion |
j |
57344/1875 |
j-invariant |
L |
5.9427972077898 |
L(r)(E,1)/r! |
Ω |
0.10037421887061 |
Real period |
R |
14.801602629256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14700ba1 8820i1 44100bo1 |
Quadratic twists by: -3 5 -7 |