Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
15300j |
Isogeny class |
Conductor |
15300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-669222000 = -1 · 24 · 39 · 53 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 3 -6 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-405,-3375] |
[a1,a2,a3,a4,a6] |
Generators |
[24:27:1] |
Generators of the group modulo torsion |
j |
-186624/17 |
j-invariant |
L |
4.0874560845705 |
L(r)(E,1)/r! |
Ω |
0.52936869235967 |
Real period |
R |
1.9303446461626 |
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 |
61200eb1 15300l1 15300k1 |
Quadratic twists by: -4 -3 5 |