Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950gz |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
5644800 |
Modular degree for the optimal curve |
Δ |
2.3400750514176E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8187313,-9014639383] |
[a1,a2,a3,a4,a6] |
Generators |
[-1654:2555:1] |
Generators of the group modulo torsion |
j |
1617840527930521321/623760113664 |
j-invariant |
L |
13.233282838007 |
L(r)(E,1)/r! |
Ω |
0.089253294358336 |
Real period |
R |
0.88253930235648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071906 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4998b1 124950fq1 |
Quadratic twists by: 5 -7 |