Atkin-Lehner |
2- 31+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
10292b |
Isogeny class |
Conductor |
10292 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1104 |
Modular degree for the optimal curve |
Δ |
658688 = 28 · 31 · 83 |
Discriminant |
Eigenvalues |
2- 2 0 -1 2 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-53,-127] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:53:27] |
Generators of the group modulo torsion |
j |
65536000/2573 |
j-invariant |
L |
6.3317158583103 |
L(r)(E,1)/r! |
Ω |
1.7709216129578 |
Real period |
R |
3.5753789507008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41168f1 92628a1 |
Quadratic twists by: -4 -3 |