Atkin-Lehner |
3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
17745o |
Isogeny class |
Conductor |
17745 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
93949236632671875 = 34 · 56 · 7 · 139 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-133514,11612837] |
[a1,a2,a3,a4,a6] |
Generators |
[93:4:1] |
Generators of the group modulo torsion |
j |
24820429213/8859375 |
j-invariant |
L |
6.1622541872623 |
L(r)(E,1)/r! |
Ω |
0.31005104485549 |
Real period |
R |
4.9687416713386 |
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 |
53235bi2 88725y2 124215bm2 17745y2 |
Quadratic twists by: -3 5 -7 13 |