Atkin-Lehner |
2- 3- 5+ 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
126990bv |
Isogeny class |
Conductor |
126990 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
374931625500 = 22 · 312 · 53 · 17 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 3 -1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20588,-1131469] |
[a1,a2,a3,a4,a6] |
Generators |
[-60147:43919:729] |
Generators of the group modulo torsion |
j |
1323789360449401/514309500 |
j-invariant |
L |
11.573491792308 |
L(r)(E,1)/r! |
Ω |
0.39857292062906 |
Real period |
R |
7.2593314669145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012078 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42330p1 |
Quadratic twists by: -3 |