Atkin-Lehner |
3- 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
25575k |
Isogeny class |
Conductor |
25575 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
286392880859765625 = 38 · 58 · 112 · 314 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-443876,-110912227] |
[a1,a2,a3,a4,a6] |
Generators |
[1667:60666:1] |
Generators of the group modulo torsion |
j |
618995185061033521/18329144375025 |
j-invariant |
L |
7.7251757980886 |
L(r)(E,1)/r! |
Ω |
0.18529800229602 |
Real period |
R |
5.2113188636455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76725p3 5115e3 |
Quadratic twists by: -3 5 |