Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101400g |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1174652238240000000 = 211 · 32 · 57 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-846408,295432812] |
[a1,a2,a3,a4,a6] |
Generators |
[737:8450:1] |
Generators of the group modulo torsion |
j |
434163602/7605 |
j-invariant |
L |
4.0845914351814 |
L(r)(E,1)/r! |
Ω |
0.2743288502453 |
Real period |
R |
1.8611747506485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998956 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20280w2 7800l2 |
Quadratic twists by: 5 13 |