Atkin-Lehner |
5+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
25925a |
Isogeny class |
Conductor |
25925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
33243844054765625 = 57 · 178 · 61 |
Discriminant |
Eigenvalues |
1 0 5+ 0 0 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-84167,-3352384] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:2258:1] [-338:3019:8] |
Generators of the group modulo torsion |
j |
4220191240164801/2127606019505 |
j-invariant |
L |
9.1624560912057 |
L(r)(E,1)/r! |
Ω |
0.29553274106667 |
Real period |
R |
15.50159224006 |
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 |
5185a3 |
Quadratic twists by: 5 |