Atkin-Lehner |
2- 3- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
14910bk |
Isogeny class |
Conductor |
14910 |
Conductor |
∏ cp |
1320 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
1022592211200000 = 211 · 38 · 55 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -1 -3 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-28335,999225] |
[a1,a2,a3,a4,a6] |
Generators |
[30:405:1] |
Generators of the group modulo torsion |
j |
2515905479569411441/1022592211200000 |
j-invariant |
L |
9.3029400016648 |
L(r)(E,1)/r! |
Ω |
0.44704006769389 |
Real period |
R |
0.015765212849486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119280bm1 44730l1 74550e1 104370cc1 |
Quadratic twists by: -4 -3 5 -7 |