Atkin-Lehner |
3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
15345i |
Isogeny class |
Conductor |
15345 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-575918717233921875 = -1 · 320 · 56 · 11 · 312 |
Discriminant |
Eigenvalues |
1 3- 5- 2 11+ 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1588464,771835495] |
[a1,a2,a3,a4,a6] |
j |
-608034844023962128129/790011957796875 |
j-invariant |
L |
3.4810590659146 |
L(r)(E,1)/r! |
Ω |
0.29008825549289 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5115b2 76725r2 |
Quadratic twists by: -3 5 |