Atkin-Lehner |
2- 7+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
89782t |
Isogeny class |
Conductor |
89782 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
99107835904 = 212 · 73 · 113 · 53 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 11+ 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4401,-110239] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:48:1] |
Generators of the group modulo torsion |
j |
7081206278427/74461184 |
j-invariant |
L |
7.4108773244955 |
L(r)(E,1)/r! |
Ω |
0.58653680534645 |
Real period |
R |
2.105829010403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003089 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89782i1 |
Quadratic twists by: -11 |