Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17850bm |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
8930397349125000000 = 26 · 36 · 59 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-556513,69496031] |
[a1,a2,a3,a4,a6] |
Generators |
[-715:10482:1] |
Generators of the group modulo torsion |
j |
9759322356711101/4572363442752 |
j-invariant |
L |
5.9356435925773 |
L(r)(E,1)/r! |
Ω |
0.20672638681765 |
Real period |
R |
2.3927132557317 |
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 |
53550cg2 17850z2 124950ja2 |
Quadratic twists by: -3 5 -7 |