Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10710u |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
15678616668750 = 2 · 311 · 55 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-72899978,-239555511669] |
[a1,a2,a3,a4,a6] |
Generators |
[58335577358741484270777789627454396402:99789595118489486967305164158388862340399:19923807023457731433763066049624] |
Generators of the group modulo torsion |
j |
58773069105954437388714841/21507018750 |
j-invariant |
L |
6.3901564154789 |
L(r)(E,1)/r! |
Ω |
0.051667530656607 |
Real period |
R |
61.839189276813 |
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 |
85680ef2 3570e2 53550bv2 74970dt2 |
Quadratic twists by: -4 -3 5 -7 |