Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
2610i |
Isogeny class |
Conductor |
2610 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
454140000 = 25 · 33 · 54 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-467,3859] |
[a1,a2,a3,a4,a6] |
Generators |
[47:-314:1] |
Generators of the group modulo torsion |
j |
416330716563/16820000 |
j-invariant |
L |
4.7001307275486 |
L(r)(E,1)/r! |
Ω |
1.65292987608 |
Real period |
R |
0.14217574488686 |
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 |
20880bk2 83520d2 2610a2 13050a2 |
Quadratic twists by: -4 8 -3 5 |