Atkin-Lehner |
3+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41745a |
Isogeny class |
Conductor |
41745 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
21964282741665 = 34 · 5 · 119 · 23 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 11+ -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-257853,50289408] |
[a1,a2,a3,a4,a6] |
Generators |
[-29228:561655:64] |
Generators of the group modulo torsion |
j |
804097557899/9315 |
j-invariant |
L |
3.5929232680596 |
L(r)(E,1)/r! |
Ω |
0.61617028944158 |
Real period |
R |
5.8310556831828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125235bf1 41745b1 |
Quadratic twists by: -3 -11 |