Atkin-Lehner |
3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
8925i |
Isogeny class |
Conductor |
8925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
34585183828125 = 312 · 57 · 72 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-555713,-159681094] |
[a1,a2,a3,a4,a6] |
Generators |
[1209:30013:1] |
Generators of the group modulo torsion |
j |
1214661886599131209/2213451765 |
j-invariant |
L |
2.1917076488108 |
L(r)(E,1)/r! |
Ω |
0.17485858472529 |
Real period |
R |
3.1335431032083 |
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 |
26775bk4 1785i3 62475bv4 |
Quadratic twists by: -3 5 -7 |