Atkin-Lehner |
7- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
54439c |
Isogeny class |
Conductor |
54439 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-23387283692166779 = -1 · 76 · 117 · 1012 |
Discriminant |
Eigenvalues |
0 3 3 7- 11- -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-426496,-107458556] |
[a1,a2,a3,a4,a6] |
Generators |
[448644:57786985:27] |
Generators of the group modulo torsion |
j |
-72925658468057088/198788631371 |
j-invariant |
L |
11.136880762413 |
L(r)(E,1)/r! |
Ω |
0.093394200753177 |
Real period |
R |
4.2587841461944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1111b1 |
Quadratic twists by: -7 |