Atkin-Lehner |
2+ 3- 41- |
Signs for the Atkin-Lehner involutions |
Class |
7872p |
Isogeny class |
Conductor |
7872 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-18137088 = -1 · 214 · 33 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -5 0 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2309,-43485] |
[a1,a2,a3,a4,a6] |
Generators |
[78:507:1] |
Generators of the group modulo torsion |
j |
-83131122688/1107 |
j-invariant |
L |
4.8183001889365 |
L(r)(E,1)/r! |
Ω |
0.34434799289585 |
Real period |
R |
4.6641772164028 |
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 |
7872z1 984b1 23616i1 |
Quadratic twists by: -4 8 -3 |