Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
15300m |
Isogeny class |
Conductor |
15300 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
1254791250000 = 24 · 310 · 57 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 6 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5700,156625] |
[a1,a2,a3,a4,a6] |
Generators |
[20:225:1] |
Generators of the group modulo torsion |
j |
112377856/6885 |
j-invariant |
L |
5.0721439845339 |
L(r)(E,1)/r! |
Ω |
0.84735768003444 |
Real period |
R |
0.49881965471847 |
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 |
61200en1 5100l1 3060i1 |
Quadratic twists by: -4 -3 5 |