Atkin-Lehner |
2+ 3+ 5- 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570g |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
12340075127343750 = 2 · 33 · 58 · 194 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4172889,3282017423] |
[a1,a2,a3,a4,a6] |
Generators |
[-1553:78334:1] [-913:80019:1] |
Generators of the group modulo torsion |
j |
297625750846270003339083/457039819531250 |
j-invariant |
L |
8.7288655655526 |
L(r)(E,1)/r! |
Ω |
0.3411813260464 |
Real period |
R |
0.79950755840523 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986327 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114570bd2 |
Quadratic twists by: -3 |