Atkin-Lehner |
2+ 3+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
114798f |
Isogeny class |
Conductor |
114798 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1536256198573248 = -1 · 26 · 3 · 192 · 536 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 0 1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-86780,9982608] |
[a1,a2,a3,a4,a6] |
Generators |
[136:780:1] |
Generators of the group modulo torsion |
j |
-200208848215254625/4255557336768 |
j-invariant |
L |
4.1657192559526 |
L(r)(E,1)/r! |
Ω |
0.47639202350804 |
Real period |
R |
0.72869245223144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999854763 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114798u2 |
Quadratic twists by: -19 |