Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
102300r |
Isogeny class |
Conductor |
102300 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4669440 |
Modular degree for the optimal curve |
Δ |
-2.1109053176665E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23087933,-42708054612] |
[a1,a2,a3,a4,a6] |
Generators |
[95829275368:4851995322150:13997521] |
Generators of the group modulo torsion |
j |
-5444260314792559771648/84436212706659 |
j-invariant |
L |
7.4311264190679 |
L(r)(E,1)/r! |
Ω |
0.034436808057203 |
Real period |
R |
17.982518410916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000331 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4092a1 |
Quadratic twists by: 5 |