Atkin-Lehner |
2+ 3+ 7+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
28182b |
Isogeny class |
Conductor |
28182 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
88000 |
Modular degree for the optimal curve |
Δ |
-3743222069664 = -1 · 25 · 35 · 72 · 115 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 11+ -5 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1771,-98147] |
[a1,a2,a3,a4,a6] |
Generators |
[1246:14203:8] |
Generators of the group modulo torsion |
j |
-614840552730937/3743222069664 |
j-invariant |
L |
3.7191026196672 |
L(r)(E,1)/r! |
Ω |
0.32889905154014 |
Real period |
R |
5.6538664405563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84546bn1 |
Quadratic twists by: -3 |