Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742p |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
77045760 |
Modular degree for the optimal curve |
Δ |
3.2447507849316E+26 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 11+ -1 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-858679776,9646255952896] |
[a1,a2,a3,a4,a6] |
Generators |
[609893190:9163753481:39304] |
Generators of the group modulo torsion |
j |
648817971720191270353/3006677182316544 |
j-invariant |
L |
4.0233385282827 |
L(r)(E,1)/r! |
Ω |
0.054517048107251 |
Real period |
R |
9.2249550435518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999629916 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34914x1 4554m1 |
Quadratic twists by: -3 -23 |