Atkin-Lehner |
2- 3+ 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
17430u |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
1124444160000 = 214 · 33 · 54 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28881,-1900497] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:74:1] |
Generators of the group modulo torsion |
j |
2664166306836455569/1124444160000 |
j-invariant |
L |
5.8927495523422 |
L(r)(E,1)/r! |
Ω |
0.36623295455412 |
Real period |
R |
1.1492976726319 |
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 |
52290bg1 87150bl1 122010dq1 |
Quadratic twists by: -3 5 -7 |