Atkin-Lehner |
2- 3+ 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
57936m |
Isogeny class |
Conductor |
57936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-424964597907456 = -1 · 215 · 37 · 174 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 5 -2 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8240,-951872] |
[a1,a2,a3,a4,a6] |
Generators |
[234:3706:1] |
Generators of the group modulo torsion |
j |
15104024886959/103751122536 |
j-invariant |
L |
6.1224797546451 |
L(r)(E,1)/r! |
Ω |
0.26430589544434 |
Real period |
R |
2.895546344301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999942 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7242l1 |
Quadratic twists by: -4 |