Atkin-Lehner |
2- 3+ 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
15180d |
Isogeny class |
Conductor |
15180 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
291492930389760 = 28 · 35 · 5 · 116 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3427476,2443503096] |
[a1,a2,a3,a4,a6] |
Generators |
[1025:2486:1] |
Generators of the group modulo torsion |
j |
17394307399558330233424/1138644259335 |
j-invariant |
L |
3.9238042286224 |
L(r)(E,1)/r! |
Ω |
0.41410546688921 |
Real period |
R |
3.1584580437912 |
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 |
60720cd2 45540r2 75900z2 |
Quadratic twists by: -4 -3 5 |