Atkin-Lehner |
2- 3- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
94962bx |
Isogeny class |
Conductor |
94962 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-62225874709992 = -1 · 23 · 34 · 77 · 17 · 193 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-55567,5051297] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:2819:1] |
Generators of the group modulo torsion |
j |
-161282338400737/528911208 |
j-invariant |
L |
14.445474939275 |
L(r)(E,1)/r! |
Ω |
0.62494695086578 |
Real period |
R |
0.32103780312367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13566p1 |
Quadratic twists by: -7 |