Atkin-Lehner |
2+ 11- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
105754f |
Isogeny class |
Conductor |
105754 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1814400 |
Modular degree for the optimal curve |
Δ |
858861487632941056 = 221 · 116 · 19 · 233 |
Discriminant |
Eigenvalues |
2+ 1 3 -2 11- -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-959412,358867122] |
[a1,a2,a3,a4,a6] |
Generators |
[54120:593958:125] |
Generators of the group modulo torsion |
j |
55129288688387857/484804919296 |
j-invariant |
L |
6.1972924191883 |
L(r)(E,1)/r! |
Ω |
0.28262479227555 |
Real period |
R |
7.309210633825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012811 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
874f1 |
Quadratic twists by: -11 |