Atkin-Lehner |
5+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
25925a |
Isogeny class |
Conductor |
25925 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-39076641103515625 = -1 · 510 · 172 · 614 |
Discriminant |
Eigenvalues |
1 0 5+ 0 0 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9917,9520866] |
[a1,a2,a3,a4,a6] |
Generators |
[-226:538:1] [-90:3156:1] |
Generators of the group modulo torsion |
j |
-6903498885921/2500905030625 |
j-invariant |
L |
9.1624560912057 |
L(r)(E,1)/r! |
Ω |
0.29553274106667 |
Real period |
R |
3.875398060015 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5185a4 |
Quadratic twists by: 5 |