Atkin-Lehner |
2- 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
7540d |
Isogeny class |
Conductor |
7540 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
11370320 = 24 · 5 · 132 · 292 |
Discriminant |
Eigenvalues |
2- 0 5- 2 -4 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-272,-1719] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:1:1] |
Generators of the group modulo torsion |
j |
139094654976/710645 |
j-invariant |
L |
4.3712794965041 |
L(r)(E,1)/r! |
Ω |
1.1759555114766 |
Real period |
R |
1.2390716751451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30160x1 120640o1 67860l1 37700c1 |
Quadratic twists by: -4 8 -3 5 |