Atkin-Lehner |
3- 5+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69615l |
Isogeny class |
Conductor |
69615 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
17806514833946475 = 311 · 52 · 72 · 136 · 17 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-183870,29706021] |
[a1,a2,a3,a4,a6] |
Generators |
[-492:1191:1] |
Generators of the group modulo torsion |
j |
943040057453514721/24425946274275 |
j-invariant |
L |
5.7792162141405 |
L(r)(E,1)/r! |
Ω |
0.38742314043826 |
Real period |
R |
3.7292662787931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001901 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23205n2 |
Quadratic twists by: -3 |