Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101400cv |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-11407500000000 = -1 · 28 · 33 · 510 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13+ -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10833,-467037] |
[a1,a2,a3,a4,a6] |
Generators |
[1269:45066:1] |
Generators of the group modulo torsion |
j |
-332800/27 |
j-invariant |
L |
8.0594019053874 |
L(r)(E,1)/r! |
Ω |
0.23289805567988 |
Real period |
R |
5.7674747350534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999919681 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101400r1 101400ba1 |
Quadratic twists by: 5 13 |