Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
112800ba |
Isogeny class |
Conductor |
112800 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
3.2100961939776E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 1 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-971933,-248745237] |
[a1,a2,a3,a4,a6] |
Generators |
[-791:5076:1] |
Generators of the group modulo torsion |
j |
1586547827987968/501577530309 |
j-invariant |
L |
9.9600205986808 |
L(r)(E,1)/r! |
Ω |
0.15583724483731 |
Real period |
R |
0.91304237879984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999873995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112800bk1 4512i1 |
Quadratic twists by: -4 5 |