Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
15300n |
Isogeny class |
Conductor |
15300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
-79315200 = -1 · 28 · 36 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 0 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,105,110] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2:1] |
Generators of the group modulo torsion |
j |
27440/17 |
j-invariant |
L |
5.0773729916029 |
L(r)(E,1)/r! |
Ω |
1.1925321058413 |
Real period |
R |
1.4192135000622 |
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 |
61200eo1 1700b1 15300bg1 |
Quadratic twists by: -4 -3 5 |