Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35520cl |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-17677025280 = -1 · 217 · 36 · 5 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 -6 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1761,28575] |
[a1,a2,a3,a4,a6] |
Generators |
[39:144:1] |
Generators of the group modulo torsion |
j |
-4610398322/134865 |
j-invariant |
L |
7.0186295809515 |
L(r)(E,1)/r! |
Ω |
1.2248436685424 |
Real period |
R |
0.23875936718874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35520a1 8880d1 106560fq1 |
Quadratic twists by: -4 8 -3 |