Atkin-Lehner |
2+ 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890df |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4644864 |
Modular degree for the optimal curve |
Δ |
2.3482109417655E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 -2 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1102509,-379435995] |
[a1,a2,a3,a4,a6] |
Generators |
[1194:1707:1] |
Generators of the group modulo torsion |
j |
719718117601/114032640 |
j-invariant |
L |
3.5638922354081 |
L(r)(E,1)/r! |
Ω |
0.14890971621363 |
Real period |
R |
2.9916552591485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998603145 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42630cy1 127890bf1 |
Quadratic twists by: -3 -7 |