Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
17472o |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
49093804032 = 219 · 3 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26689,1687105] |
[a1,a2,a3,a4,a6] |
Generators |
[120:445:1] |
Generators of the group modulo torsion |
j |
8020417344913/187278 |
j-invariant |
L |
4.2546096847423 |
L(r)(E,1)/r! |
Ω |
1.044655255403 |
Real period |
R |
4.0727404210502 |
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 |
17472cu3 546g3 52416dd4 122304dh4 |
Quadratic twists by: -4 8 -3 -7 |