Atkin-Lehner |
2+ 5+ 37- 53- |
Signs for the Atkin-Lehner involutions |
Class |
98050b |
Isogeny class |
Conductor |
98050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
61281250000 = 24 · 59 · 37 · 53 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 1 -1 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2001,32148] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:266:1] |
Generators of the group modulo torsion |
j |
56667352321/3922000 |
j-invariant |
L |
5.8882977309077 |
L(r)(E,1)/r! |
Ω |
1.0868282741609 |
Real period |
R |
0.67723414317241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19610g1 |
Quadratic twists by: 5 |