Atkin-Lehner |
2+ 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75240k |
Isogeny class |
Conductor |
75240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
397283964675840000 = 211 · 39 · 54 · 112 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1281603,557618398] |
[a1,a2,a3,a4,a6] |
Generators |
[818:7524:1] |
Generators of the group modulo torsion |
j |
155928958297603202/266099191875 |
j-invariant |
L |
4.7414632211192 |
L(r)(E,1)/r! |
Ω |
0.29992758184833 |
Real period |
R |
3.9521733799461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003267 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25080u4 |
Quadratic twists by: -3 |