Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17850q |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
19913906250000 = 24 · 32 · 510 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17651,875198] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:1056:1] |
Generators of the group modulo torsion |
j |
38920307374369/1274490000 |
j-invariant |
L |
4.4668900849791 |
L(r)(E,1)/r! |
Ω |
0.680481874511 |
Real period |
R |
1.6410760713462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53550dh2 3570r2 124950h2 |
Quadratic twists by: -3 5 -7 |