Atkin-Lehner |
2+ 3+ 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
10680a |
Isogeny class |
Conductor |
10680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2566404000000 = 28 · 34 · 56 · 892 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4140,69012] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:400:1] |
Generators of the group modulo torsion |
j |
30661236711376/10025015625 |
j-invariant |
L |
3.8059111657114 |
L(r)(E,1)/r! |
Ω |
0.74897232992973 |
Real period |
R |
1.6938370144544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21360e2 85440q2 32040g2 53400s2 |
Quadratic twists by: -4 8 -3 5 |