Atkin-Lehner |
2+ 3- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
61854i |
Isogeny class |
Conductor |
61854 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-24460230162201054 = -1 · 2 · 3 · 136 · 615 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 -2 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-87039,-12429272] |
[a1,a2,a3,a4,a6] |
Generators |
[352:584:1] |
Generators of the group modulo torsion |
j |
-15107691357361/5067577806 |
j-invariant |
L |
5.0714195450009 |
L(r)(E,1)/r! |
Ω |
0.13665450014326 |
Real period |
R |
3.7111251660177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993857 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
366b2 |
Quadratic twists by: 13 |