Atkin-Lehner |
2+ 3- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
109554i |
Isogeny class |
Conductor |
109554 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
106486488 = 23 · 36 · 19 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 -4 -7 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4190,104024] |
[a1,a2,a3,a4,a6] |
Generators |
[36:-32:1] |
Generators of the group modulo torsion |
j |
8462396842393/110808 |
j-invariant |
L |
5.0154770613132 |
L(r)(E,1)/r! |
Ω |
1.7142795279971 |
Real period |
R |
0.48761758812993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999936952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109554a1 |
Quadratic twists by: -31 |