Atkin-Lehner |
2+ 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2904b |
Isogeny class |
Conductor |
2904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
285152160165599232 = 211 · 310 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -4 11+ 6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-164600,-720564] |
[a1,a2,a3,a4,a6] |
Generators |
[-1302:37293:8] |
Generators of the group modulo torsion |
j |
102129622/59049 |
j-invariant |
L |
1.9571992154259 |
L(r)(E,1)/r! |
Ω |
0.25933422877817 |
Real period |
R |
7.5470146175728 |
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 |
5808j2 23232bm2 8712u2 72600dk2 |
Quadratic twists by: -4 8 -3 5 |