Atkin-Lehner |
2+ 5+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
111910b |
Isogeny class |
Conductor |
111910 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-5059573265544310000 = -1 · 24 · 54 · 198 · 313 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 2 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4580,-108220800] |
[a1,a2,a3,a4,a6] |
Generators |
[243330:7712035:216] |
Generators of the group modulo torsion |
j |
-225866529/107545510000 |
j-invariant |
L |
5.3555673740762 |
L(r)(E,1)/r! |
Ω |
0.11102320707412 |
Real period |
R |
4.0198557575985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000066975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5890e1 |
Quadratic twists by: -19 |