Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600b |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1825200000000 = 210 · 33 · 58 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60840008,-182634907488] |
[a1,a2,a3,a4,a6] |
Generators |
[-260565260977735856848985900362:4972734025601951898998951:57864819526708515785780408] |
Generators of the group modulo torsion |
j |
1556580279686303289604/114075 |
j-invariant |
L |
4.4495650897492 |
L(r)(E,1)/r! |
Ω |
0.054057037149605 |
Real period |
R |
41.156205781634 |
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 |
7800e4 62400hb4 46800p4 3120j3 |
Quadratic twists by: -4 8 -3 5 |