Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
15300c |
Isogeny class |
Conductor |
15300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-1338444000000 = -1 · 28 · 39 · 56 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -3 1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-102600,-12649500] |
[a1,a2,a3,a4,a6] |
j |
-1517101056/17 |
j-invariant |
L |
0.80026473096373 |
L(r)(E,1)/r! |
Ω |
0.13337745516062 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61200dc2 15300g1 612b2 |
Quadratic twists by: -4 -3 5 |