Atkin-Lehner |
3- 5+ 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
15555b |
Isogeny class |
Conductor |
15555 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2177622225 = -1 · 34 · 52 · 172 · 612 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 -4 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,324,81] |
[a1,a2,a3,a4,a6] |
Generators |
[15:84:1] |
Generators of the group modulo torsion |
j |
3760754329151/2177622225 |
j-invariant |
L |
3.1530762489896 |
L(r)(E,1)/r! |
Ω |
0.8767713841206 |
Real period |
R |
0.44952941925564 |
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 |
46665d2 77775a2 |
Quadratic twists by: -3 5 |