Atkin-Lehner |
2+ 3- 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
65550bj |
Isogeny class |
Conductor |
65550 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
3968000 |
Modular degree for the optimal curve |
Δ |
-4.9096984086E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13400701,-18885750952] |
[a1,a2,a3,a4,a6] |
Generators |
[8227:649886:1] |
Generators of the group modulo torsion |
j |
-136262445243741269909/25137655852032 |
j-invariant |
L |
3.3282167997974 |
L(r)(E,1)/r! |
Ω |
0.039453258411657 |
Real period |
R |
4.217923859417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000216 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65550bx1 |
Quadratic twists by: 5 |