Atkin-Lehner |
3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
8925bc |
Isogeny class |
Conductor |
8925 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-59038875 = -1 · 34 · 53 · 73 · 17 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- 0 -5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-238,1384] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:52:1] |
Generators of the group modulo torsion |
j |
-11977551872/472311 |
j-invariant |
L |
2.7005149940551 |
L(r)(E,1)/r! |
Ω |
1.9621029532868 |
Real period |
R |
0.057347377158339 |
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 |
26775bu1 8925k1 62475bl1 |
Quadratic twists by: -3 5 -7 |