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 |
35550538100859375 = 316 · 57 · 11 · 312 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7050751,-7206695977] |
[a1,a2,a3,a4,a6] |
Generators |
[-1533:841:1] |
Generators of the group modulo torsion |
j |
2480902693289340657121/2275234438455 |
j-invariant |
L |
7.7251757980886 |
L(r)(E,1)/r! |
Ω |
0.092649001148009 |
Real period |
R |
2.6056594318228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76725p6 5115e5 |
Quadratic twists by: -3 5 |