Atkin-Lehner |
2+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
114950b |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1742400 |
Modular degree for the optimal curve |
Δ |
-4670809535789927200 = -1 · 25 · 52 · 119 · 195 |
Discriminant |
Eigenvalues |
2+ 0 5+ 3 11+ 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,47833,103891101] |
[a1,a2,a3,a4,a6] |
Generators |
[15842374:22285941377:8] |
Generators of the group modulo torsion |
j |
205318125/79235168 |
j-invariant |
L |
6.0263771454091 |
L(r)(E,1)/r! |
Ω |
0.18968527125508 |
Real period |
R |
15.885200542666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996109 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114950dc1 114950bw1 |
Quadratic twists by: 5 -11 |