Atkin-Lehner |
3- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
114873h |
Isogeny class |
Conductor |
114873 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
109309039167704937 = 3 · 114 · 597 |
Discriminant |
Eigenvalues |
-1 3- -2 0 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3294839,-2302188312] |
[a1,a2,a3,a4,a6] |
Generators |
[922412728495340082690:116173734020617331164293:56937766361111000] |
Generators of the group modulo torsion |
j |
93780867197737/2591457 |
j-invariant |
L |
3.9753554001026 |
L(r)(E,1)/r! |
Ω |
0.11205770523852 |
Real period |
R |
35.4759668363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999127346 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1947e3 |
Quadratic twists by: -59 |