Atkin-Lehner |
2+ 3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
8010d |
Isogeny class |
Conductor |
8010 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
462530160900 = 22 · 38 · 52 · 893 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1189665,499739625] |
[a1,a2,a3,a4,a6] |
Generators |
[203455:441720:343] |
Generators of the group modulo torsion |
j |
255429141422627949841/634472100 |
j-invariant |
L |
3.176336493527 |
L(r)(E,1)/r! |
Ω |
0.61477898589117 |
Real period |
R |
7.7499472975381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
64080z3 2670e3 40050bh3 |
Quadratic twists by: -4 -3 5 |