Atkin-Lehner |
2+ 7+ 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
116144a |
Isogeny class |
Conductor |
116144 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1687198800896 = 210 · 7 · 17 · 614 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3779,-63950] |
[a1,a2,a3,a4,a6] |
Generators |
[-2030360:9916461:64000] |
Generators of the group modulo torsion |
j |
5828468199012/1647655079 |
j-invariant |
L |
7.0926857545988 |
L(r)(E,1)/r! |
Ω |
0.62197305137437 |
Real period |
R |
11.403525823114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002777 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58072a3 |
Quadratic twists by: -4 |