Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
15300n |
Isogeny class |
Conductor |
15300 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-22922092800 = -1 · 28 · 36 · 52 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 0 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1695,27830] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:92:1] |
Generators of the group modulo torsion |
j |
-115431760/4913 |
j-invariant |
L |
5.0773729916029 |
L(r)(E,1)/r! |
Ω |
1.1925321058413 |
Real period |
R |
4.2576405001866 |
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 |
61200eo2 1700b2 15300bg2 |
Quadratic twists by: -4 -3 5 |