Atkin-Lehner |
5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71825h |
Isogeny class |
Conductor |
71825 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6299061163890625 = -1 · 56 · 136 · 174 |
Discriminant |
Eigenvalues |
-1 0 5+ 4 0 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2905,-3818278] |
[a1,a2,a3,a4,a6] |
Generators |
[959:29095:1] |
Generators of the group modulo torsion |
j |
-35937/83521 |
j-invariant |
L |
4.2858298089723 |
L(r)(E,1)/r! |
Ω |
0.19189162662005 |
Real period |
R |
2.7918296145855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002477 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2873a4 425a4 |
Quadratic twists by: 5 13 |