Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56644o |
Isogeny class |
Conductor |
56644 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4644864 |
Modular degree for the optimal curve |
Δ |
-2.9673092820481E+19 |
Discriminant |
Eigenvalues |
2- -3 4 7- -1 -3 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4857223,4128639550] |
[a1,a2,a3,a4,a6] |
Generators |
[1275:2890:1] |
Generators of the group modulo torsion |
j |
-7260624/17 |
j-invariant |
L |
4.8521692869112 |
L(r)(E,1)/r! |
Ω |
0.20983822270048 |
Real period |
R |
1.9269484622575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000505 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56644d1 3332f1 |
Quadratic twists by: -7 17 |