Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970bx |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
5802250475553210000 = 24 · 310 · 54 · 76 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-635049,156717693] |
[a1,a2,a3,a4,a6] |
Generators |
[-453:18969:1] |
Generators of the group modulo torsion |
j |
330240275458561/67652010000 |
j-invariant |
L |
4.5353269695131 |
L(r)(E,1)/r! |
Ω |
0.2270543164394 |
Real period |
R |
0.62420732622042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001823 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24990bx3 1530c4 |
Quadratic twists by: -3 -7 |