Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
93100g |
Isogeny class |
Conductor |
93100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
1018281250000 = 24 · 510 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 1 3 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5833,-166412] |
[a1,a2,a3,a4,a6] |
Generators |
[-14448:27278:343] |
Generators of the group modulo torsion |
j |
409600/19 |
j-invariant |
L |
8.3976007138083 |
L(r)(E,1)/r! |
Ω |
0.54785575895304 |
Real period |
R |
7.6640617310199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001413 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93100bk1 93100u1 |
Quadratic twists by: 5 -7 |