Atkin-Lehner |
3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8925a |
Isogeny class |
Conductor |
8925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-102498046875 = -1 · 32 · 59 · 73 · 17 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ -6 1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-309533,-66180907] |
[a1,a2,a3,a4,a6] |
Generators |
[2957:157687:1] |
Generators of the group modulo torsion |
j |
-209906535145406464/6559875 |
j-invariant |
L |
2.4030444393515 |
L(r)(E,1)/r! |
Ω |
0.10120284046693 |
Real period |
R |
5.9362079865162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26775bd2 1785l2 62475ca2 |
Quadratic twists by: -3 5 -7 |