Atkin-Lehner |
3+ 7- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
15351b |
Isogeny class |
Conductor |
15351 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
13932459759792987 = 34 · 712 · 172 · 43 |
Discriminant |
Eigenvalues |
1 3+ 0 7- 2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-375235,-88445522] |
[a1,a2,a3,a4,a6] |
Generators |
[-2914:3599:8] |
Generators of the group modulo torsion |
j |
5842995362808163197625/13932459759792987 |
j-invariant |
L |
5.1138896693741 |
L(r)(E,1)/r! |
Ω |
0.19292379514928 |
Real period |
R |
2.2089419924489 |
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 |
46053k2 107457o2 |
Quadratic twists by: -3 -7 |