Atkin-Lehner |
2- 5+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
15340b |
Isogeny class |
Conductor |
15340 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-18173175294726400 = -1 · 28 · 52 · 138 · 592 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29036,-6769436] |
[a1,a2,a3,a4,a6] |
Generators |
[824:23010:1] |
Generators of the group modulo torsion |
j |
-10575698643776464/70988965995025 |
j-invariant |
L |
3.3251135148347 |
L(r)(E,1)/r! |
Ω |
0.1626329802647 |
Real period |
R |
0.85189606822641 |
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 |
61360m2 76700b2 |
Quadratic twists by: -4 5 |