Atkin-Lehner |
2- 7- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
93002v |
Isogeny class |
Conductor |
93002 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
360192 |
Modular degree for the optimal curve |
Δ |
183895341752486 = 2 · 713 · 13 · 73 |
Discriminant |
Eigenvalues |
2- 2 -1 7- -1 13- 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-30381,-1943635] |
[a1,a2,a3,a4,a6] |
Generators |
[-4818853081650:18224742122783:48627125000] |
Generators of the group modulo torsion |
j |
26359827238081/1563084614 |
j-invariant |
L |
13.882853067073 |
L(r)(E,1)/r! |
Ω |
0.36295738654008 |
Real period |
R |
19.124632232192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13286g1 |
Quadratic twists by: -7 |