Atkin-Lehner |
3+ 5- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
36975r |
Isogeny class |
Conductor |
36975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
220714682625 = 36 · 53 · 174 · 29 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 -2 0 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1720,-16325] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:121:1] |
Generators of the group modulo torsion |
j |
4506024060413/1765717461 |
j-invariant |
L |
6.4863932064725 |
L(r)(E,1)/r! |
Ω |
0.76653010633308 |
Real period |
R |
2.1155050378586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110925bu1 36975be1 |
Quadratic twists by: -3 5 |