Atkin-Lehner |
3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
8925t |
Isogeny class |
Conductor |
8925 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
430491796875 = 33 · 58 · 74 · 17 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1530026,-728571427] |
[a1,a2,a3,a4,a6] |
Generators |
[28086:1528403:8] |
Generators of the group modulo torsion |
j |
25351269426118370449/27551475 |
j-invariant |
L |
6.0215692031765 |
L(r)(E,1)/r! |
Ω |
0.13574532635693 |
Real period |
R |
7.3932185669303 |
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 |
26775w4 1785c3 62475f4 |
Quadratic twists by: -3 5 -7 |