Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
17472n |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
305270784 = 212 · 32 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-169,169] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:24:1] |
Generators of the group modulo torsion |
j |
131096512/74529 |
j-invariant |
L |
3.8986507617461 |
L(r)(E,1)/r! |
Ω |
1.4811537462297 |
Real period |
R |
1.3160857782895 |
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 |
17472bb2 8736j1 52416db2 122304dg2 |
Quadratic twists by: -4 8 -3 -7 |