Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
54600bp |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
22473360000000 = 210 · 32 · 57 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-312408,-67105188] |
[a1,a2,a3,a4,a6] |
Generators |
[-322:16:1] |
Generators of the group modulo torsion |
j |
210751929444676/1404585 |
j-invariant |
L |
4.0631812618028 |
L(r)(E,1)/r! |
Ω |
0.20193847668741 |
Real period |
R |
2.5151108696449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000183 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200ca4 10920h3 |
Quadratic twists by: -4 5 |