Atkin-Lehner |
2+ 3+ 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28710b |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
406180069251660000 = 25 · 33 · 54 · 1110 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11- -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-266490,43235156] |
[a1,a2,a3,a4,a6] |
Generators |
[415:1789:1] [-794:66705:8] |
Generators of the group modulo torsion |
j |
77518188480490138107/15043706268580000 |
j-invariant |
L |
5.6790307568921 |
L(r)(E,1)/r! |
Ω |
0.28406136607454 |
Real period |
R |
1.999226728848 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28710z2 |
Quadratic twists by: -3 |