Atkin-Lehner |
2+ 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3570f |
Isogeny class |
Conductor |
3570 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
108756480 = 29 · 3 · 5 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-40957,-3207491] |
[a1,a2,a3,a4,a6] |
Generators |
[585:12878:1] |
Generators of the group modulo torsion |
j |
7598444481718798681/108756480 |
j-invariant |
L |
2.1995951766018 |
L(r)(E,1)/r! |
Ω |
0.33559550857856 |
Real period |
R |
6.5543045731404 |
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 |
28560ed2 114240dc2 10710w2 17850bw2 |
Quadratic twists by: -4 8 -3 5 |