Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800el |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
308629440000000000 = 215 · 39 · 510 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12708300,17437282000] |
[a1,a2,a3,a4,a6] |
Generators |
[2204:11592:1] |
Generators of the group modulo torsion |
j |
608119035935048/826875 |
j-invariant |
L |
7.3032180539247 |
L(r)(E,1)/r! |
Ω |
0.25981733864647 |
Real period |
R |
3.5136310045522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001666 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800cw4 50400dn4 33600cq4 20160bw4 |
Quadratic twists by: -4 8 -3 5 |