Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9996d |
Isogeny class |
Conductor |
9996 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
12375807696 = 24 · 33 · 73 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-737,5790] |
[a1,a2,a3,a4,a6] |
Generators |
[82:700:1] |
Generators of the group modulo torsion |
j |
8077950976/2255067 |
j-invariant |
L |
4.1418319697586 |
L(r)(E,1)/r! |
Ω |
1.1798900455659 |
Real period |
R |
3.5103541938708 |
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 |
39984de1 29988bm1 9996p1 |
Quadratic twists by: -4 -3 -7 |