Atkin-Lehner |
2+ 3- 5+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116850bh |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
979200 |
Modular degree for the optimal curve |
Δ |
-2876997256012800 = -1 · 210 · 33 · 52 · 195 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -5 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,23819,2160128] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:1184:1] |
Generators of the group modulo torsion |
j |
59783382924084815/115079890240512 |
j-invariant |
L |
7.1461796271393 |
L(r)(E,1)/r! |
Ω |
0.31171786956654 |
Real period |
R |
0.38208587222788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999750895 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116850ce1 |
Quadratic twists by: 5 |