Atkin-Lehner |
17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
15317d |
Isogeny class |
Conductor |
15317 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-30878978573177333 = -1 · 1712 · 53 |
Discriminant |
Eigenvalues |
-1 0 0 -2 6 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,52110,-7120450] |
[a1,a2,a3,a4,a6] |
Generators |
[516565995:-29112747962:166375] |
Generators of the group modulo torsion |
j |
648337611375/1279291157 |
j-invariant |
L |
3.1160006943678 |
L(r)(E,1)/r! |
Ω |
0.19360607974162 |
Real period |
R |
16.094539482057 |
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 |
901a2 |
Quadratic twists by: 17 |