Atkin-Lehner |
3+ 5- 29+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
115275i |
Isogeny class |
Conductor |
115275 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
7732800 |
Modular degree for the optimal curve |
Δ |
-4.9501147282461E+22 |
Discriminant |
Eigenvalues |
0 3+ 5- 1 2 -3 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-19655583,35214362318] |
[a1,a2,a3,a4,a6] |
Generators |
[784406:-16157884:343] |
Generators of the group modulo torsion |
j |
-2149915986732542033920/126722937043099827 |
j-invariant |
L |
4.3547750513991 |
L(r)(E,1)/r! |
Ω |
0.11123977260528 |
Real period |
R |
1.6311518299936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000100402 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115275k1 |
Quadratic twists by: 5 |