Atkin-Lehner |
2- 3- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29070bb |
Isogeny class |
Conductor |
29070 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
545740800 |
Modular degree for the optimal curve |
Δ |
6.1839934965791E+33 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2257767191768,-1305764447099744293] |
[a1,a2,a3,a4,a6] |
Generators |
[1244131364663435161811532493174899:-510243319732660777964249586158156201:686697368027941471774702303] |
Generators of the group modulo torsion |
j |
1745957458089824793658821537153909697081/8482844302577646464705495040000 |
j-invariant |
L |
9.0167501852288 |
L(r)(E,1)/r! |
Ω |
0.0038947527425952 |
Real period |
R |
46.302041650124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690m1 |
Quadratic twists by: -3 |