Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41400s |
Isogeny class |
Conductor |
41400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
4889257200000000 = 210 · 312 · 58 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -3 -5 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55875,-3811250] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:428:1] |
Generators of the group modulo torsion |
j |
66158980/16767 |
j-invariant |
L |
5.3728476385117 |
L(r)(E,1)/r! |
Ω |
0.31631656908124 |
Real period |
R |
4.2464165362202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82800cc1 13800bc1 41400bw1 |
Quadratic twists by: -4 -3 5 |