Atkin-Lehner |
2+ 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560co |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-3096264548088000 = -1 · 26 · 321 · 53 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86592,10166474] |
[a1,a2,a3,a4,a6] |
Generators |
[223:1395:1] |
Generators of the group modulo torsion |
j |
-1539038632738816/66363694875 |
j-invariant |
L |
8.4741193405092 |
L(r)(E,1)/r! |
Ω |
0.44548722796934 |
Real period |
R |
3.1703562581366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016325 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106560fr1 1665c1 35520b1 |
Quadratic twists by: -4 8 -3 |