Atkin-Lehner |
2+ 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
78200c |
Isogeny class |
Conductor |
78200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-6618848000000 = -1 · 211 · 56 · 17 · 233 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 6 -2 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1592,120812] |
[a1,a2,a3,a4,a6] |
Generators |
[586:6325:8] |
Generators of the group modulo torsion |
j |
13935742/206839 |
j-invariant |
L |
5.063901753739 |
L(r)(E,1)/r! |
Ω |
0.55677042962219 |
Real period |
R |
4.5475670809485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979229 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3128c1 |
Quadratic twists by: 5 |