Atkin-Lehner |
2- 3+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
6510o |
Isogeny class |
Conductor |
6510 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
89317200 = 24 · 3 · 52 · 74 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-198401,33931823] |
[a1,a2,a3,a4,a6] |
Generators |
[257:-122:1] |
Generators of the group modulo torsion |
j |
863685084022485007249/89317200 |
j-invariant |
L |
4.5867305299856 |
L(r)(E,1)/r! |
Ω |
1.0764786259561 |
Real period |
R |
1.0652163497236 |
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 |
52080bs4 19530ba3 32550bd4 45570dg4 |
Quadratic twists by: -4 -3 5 -7 |