Atkin-Lehner |
2+ 3+ 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
82950m |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
79833600 |
Modular degree for the optimal curve |
Δ |
1.8982938864385E+28 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-691496150,-2246013907500] |
[a1,a2,a3,a4,a6] |
Generators |
[-3335:153480:1] |
Generators of the group modulo torsion |
j |
2340307834401386293150962529/1214908087320647991936000 |
j-invariant |
L |
4.8250110426645 |
L(r)(E,1)/r! |
Ω |
0.031160792709966 |
Real period |
R |
5.5300846948364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006264 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16590u1 |
Quadratic twists by: 5 |