Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
3570c |
Isogeny class |
Conductor |
3570 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
4080067320 = 23 · 3 · 5 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-518,3132] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:71:1] |
Generators of the group modulo torsion |
j |
15417797707369/4080067320 |
j-invariant |
L |
2.1617019856362 |
L(r)(E,1)/r! |
Ω |
1.2981263652016 |
Real period |
R |
0.55508257736797 |
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 |
28560dh2 114240ex2 10710bm2 17850bp2 |
Quadratic twists by: -4 8 -3 5 |