Atkin-Lehner |
2+ 3+ 5+ |
Signs for the Atkin-Lehner involutions |
Class |
600a |
Isogeny class |
Conductor |
600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
90000000000 = 210 · 32 · 510 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5008,-133988] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:22:1] |
Generators of the group modulo torsion |
j |
868327204/5625 |
j-invariant |
L |
1.8182269342928 |
L(r)(E,1)/r! |
Ω |
0.56773510051461 |
Real period |
R |
3.2025973603618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1200e3 4800r3 1800r3 120a3 |
Quadratic twists by: -4 8 -3 5 |