Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17745q |
Isogeny class |
Conductor |
17745 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
224835779975625 = 32 · 54 · 72 · 138 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-24931,-1334464] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:473:1] |
Generators of the group modulo torsion |
j |
355045312441/46580625 |
j-invariant |
L |
3.2393110854344 |
L(r)(E,1)/r! |
Ω |
0.38322942342612 |
Real period |
R |
4.2263340018031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53235bj2 88725e2 124215bf2 1365f2 |
Quadratic twists by: -3 5 -7 13 |