Atkin-Lehner |
3- 11+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
25311f |
Isogeny class |
Conductor |
25311 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
1220437504427118549 = 3 · 1112 · 133 · 59 |
Discriminant |
Eigenvalues |
0 3- -3 2 11+ 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-281957,22171265] |
[a1,a2,a3,a4,a6] |
j |
2478984981039082897408/1220437504427118549 |
j-invariant |
L |
1.4544856567556 |
L(r)(E,1)/r! |
Ω |
0.24241427612593 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75933h2 |
Quadratic twists by: -3 |