Atkin-Lehner |
2+ 3- 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15510i |
Isogeny class |
Conductor |
15510 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-127354441420800 = -1 · 212 · 32 · 52 · 113 · 473 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11+ -7 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,12567,-26132] |
[a1,a2,a3,a4,a6] |
Generators |
[59:930:1] |
Generators of the group modulo torsion |
j |
219517037998540919/127354441420800 |
j-invariant |
L |
4.3219451793422 |
L(r)(E,1)/r! |
Ω |
0.34784902386088 |
Real period |
R |
1.553096632043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124080bp2 46530x2 77550bg2 |
Quadratic twists by: -4 -3 5 |